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YT 2 minutes 5 seconds
enginerdmath
Differential Equation Practice #1: y’ = xy^(2) (separable)
YT 2 minutes 38 seconds
enginerdmath
Differential Equation Practice #2: sinxsinydx + cosxcosydy = 0 (separable)
YT 3 minutes 28 seconds
enginerdmath
Differential Equation Practice #3: y’ = cscx + ycotx (linear DE)
YT 5 minutes 43 seconds
enginerdmath
Differential Equations Practice #4: (xy^(3))dy - (2y^(4) + x^(4))dx = 0 (homogeneous DE)
YT 5 minutes 16 seconds
enginerdmath
Differential Equations Practice #5: 2dy/dx - y/x = 5x^(3)y^(3) (Bernoulli DE)
YT 2 minutes 46 seconds
enginerdmath
Differential Equations Practice #6: (D^(3) + 2D^(2) - 15D)y = 0 (homogeneous DE)
YT 3 minutes 40 seconds
enginerdmath
Differential Equations Practice #7: (D^(2) + 3D + 2)y = 3 (non-homogeneous DE)
YT 3 minutes 42 seconds
enginerdmath
Differential Equations Practice #8: (x + 2y -1)dx+3(x+2y)dy = 0 (substitution suggested by equation)
YT 12 minutes 25 seconds
enginerdmath
Differential Equations Practice #9: (x + 2y - 4)dx - (2x + y - 5)dy = 0 (coefficients linear 2 var)
YT 10 minutes 51 seconds
enginerdmath
Differential Equations Practice #10: (D^(2) + 1)y = tanx (variation of parameters)
YT 5 minutes 29 seconds
enginerdmath
Differential Equations Practice#11 y(x^3 - y)dx - x(x^3 + y)dy = 0(integrating factor by inspection)
YT 5 minutes 32 seconds
enginerdmath
Differential Equations Practice #12: (y^2 - 2xy + 6x)dx - (x^2 - 2xy + 2)dy = 0 (exact DE)
YT 2 minutes 38 seconds
enginerdmath
Differential Equations Practice #13: dy/dx = e^(2x - y)
YT 2 minutes 22 seconds
enginerdmath
Differential Equations Practice #14: dy/dx = secx - ytanx
YT 4 minutes 13 seconds
enginerdmath
Differential Equations Practice # 15: dy/dx = y - xy^(3)e^(-2x)
YT 5 minutes 54 seconds
enginerdmath
Differential Equations Practice #16: (x - 2y)dx + (2x + y)dy = 0
YT 3 minutes 6 seconds
enginerdmath
Differential Equations Practice #17: (D^4 + D^3 - 2D)y = 0
YT 4 minutes 22 seconds
enginerdmath
Differential Equations Practice #18: (xy + x)dx = (x^2y^2 + x^2 + y^2 + 1)dy
YT 5 minutes 5 seconds
enginerdmath
Differential Equations Practice #19: y(xtanx + lny)dx + tanxdy = 0
YT 3 minutes 8 seconds
enginerdmath
Differential Equation Practice #20: ylnxlnydx + dy = 0
YT 3 minutes 26 seconds
enginerdmath
Differential Equations Practice #21: (x^5 + 3y)dx - xdy = 0
YT 5 minutes 7 seconds
enginerdmath
Differential Equations Practice 22: dy = ((9x + 4y + 1)^2)dx
YT 3 minutes 28 seconds
enginerdmath
Differential Equations Practice #23: (y - (cosx)^2)dx + cosxdy = 0
YT 3 minutes 16 seconds
enginerdmath
Differential Equations Practice #24: xy^3dx + (y+1)e^(-x)dx=0
YT 4 minutes 14 seconds
enginerdmath
Differential Equations Practice #25: (2x + 3y - 1)dx + (2x + 3y - 5)dy = 0
YT 3 minutes 38 seconds
enginerdmath
Differential Equations Practice #26: (x^4 + 2y)dx - xdy = 0
YT 4 minutes 2 seconds
enginerdmath
Differential Equations Practice #27: ydx = (x + sqrt(y^2 - x^2))dy
YT 4 minutes 47 seconds
enginerdmath
Differential Equations Practice #28: dy = sin(x+y)dx
YT 2 minutes 46 seconds
enginerdmath
Differential Equations Practice #29: xy^3dx + (y + 1)e^(-x)dy = 0
YT 7 minutes 13 seconds
enginerdmath
Differential Equations Practice #30: (y - sqrt(x^2 + y^2))dx - xdy = 0
YT 3 minutes 37 seconds
enginerdmath
Differential Equations Practice #31: dy/dx = 1 + 3ytanx
YT 3 minutes 43 seconds
enginerdmath
Differential Equations Practice #32: (dy/dx)(d^2y/dx^2) = 1
YT 3 minutes 27 seconds
enginerdmath
Differential Equations Practice #33: (y^2 - xy)dx + x^2dy = 0
YT 4 minutes 15 seconds
enginerdmath
Differential Equations Practice #34: (D^3 - 1)y = 0
YT 3 minutes 28 seconds
enginerdmath
Differential Equations Practice #35: x^3(secy)^2dy - (1 - 2x^2tany)dx = 0
YT 4 minutes 40 seconds
enginerdmath
Differential Equations Practice #36: tds= (3t + 1)sdt + (t^3)(e^(3t))dt
YT 3 minutes 1 second
enginerdmath
Differential Equations Practice #37: dy + (ycotx - 1)dx = 0
YT 5 minutes 26 seconds
enginerdmath
Differential Equations Practice # 38: (2x^3 - xy^2 - 2y + 3)dx - (x^2y + 2x)dy = 0
YT 4 minutes 23 seconds
enginerdmath
Differential Equations Practice #39: 3x^2ydx + (y^4 - x ^3)dy = 0
YT 9 minutes 1 second
enginerdmath
Differential Equations Practice #40: y(x + y +1)dx + x(x + 3y + 2)dy = 0
YT 6 minutes 37 seconds
enginerdmath
Differential Equations Practice 41: (6x^2y + 4x^3y)dx + (6x^2y + x^4 + e^y)dy = 0
YT 6 minutes 8 seconds
enginerdmath
Differential Equations Practice #42: cosysin2xdx + (cos^2(y) - cos^(x))dy = 0
YT 7 minutes 11 seconds
enginerdmath
Differential Equations Practice #43: 2ydx + x(x^2lny - 1)dy = 0
YT 2 minutes 39 seconds
enginerdmath
Differential Equations Practice #44: (x + y)dy = (x - y)dx
YT 6 minutes 31 seconds
enginerdmath
Differential Equations Practice #45: xydx - (x + 2y) ^2dy = 0
YT 5 minutes 27 seconds
enginerdmath
Differential Equations Practice #46: (3xy + 3y - 4)dx + (x + 1)^2dy = 0
YT 6 minutes 39 seconds
enginerdmath
Differential Equations Practice 47#: x(x^2 + y^2)(ydx - xdy) + y^6dy = 0
YT 5 minutes 40 seconds
enginerdmath
Integral Practice #76: integral of ((7x - 2)sqrt(3x + 2))dx
YT 4 minutes 56 seconds
enginerdmath
Differential Equations Practice #48: dy/dx + 3y/4x = -((x^3e^x)/4)y^5
YT 7 minutes 29 seconds
enginerdmath
Differential Equations Practice #49: (D^2 - 5D + 4)y = 16x + 6e^x
YT 5 minutes 6 seconds
enginerdmath
Differential Equations Practice #50: (1 + e^(x/y))dx + e^(x/y)(1 - x/y)dy = 0
YT 4 minutes 50 seconds
enginerdmath
Differential Equations Practice #51: (xy^2 + x)dx + (x^2y - x^2 + y - 1)dy = 0
YT 6 minutes 58 seconds
enginerdmath
Differential Equations Practice #52: (2x + y - 4)dx + (x - 2y + 3)dy = 0
YT 5 minutes 44 seconds
enginerdmath
Differential Equations Practice #53: (1 - x^2)dy + (2xy - (1 - x^2)^(3/2))dx = 0
YT 4 minutes 7 seconds
enginerdmath
Differential Equations Practice #54: e^(dy/dx) = x + 1
YT 5 minutes 49 seconds
enginerdmath
Differential Equations Practice #55: (3tanx - 2cosy)(secx)^2dx + tanxsinydy = 0
YT 5 minutes 18 seconds
enginerdmath
Differential Equations Practice #56: d^2y/dx^2 - (dy/dx)^2 - 4 = 0
YT 2 minutes 55 seconds
enginerdmath
Differential Equations Practice #57: dy/dx = e^(x - y) + x^ e^(-y)
YT 4 minutes 8 seconds
enginerdmath
Differential Equations Practice #58: (x^2y^2 - y)dx + (2x^3y + x)dx = 0
YT 5 minutes 40 seconds
enginerdmath
Differential Equations Practice #59: (2xy + x^2 + y^4)dx - (1 + x^2)dy = 0
YT 6 minutes 33 seconds
enginerdmath
Differential Equations Practice #60: ydx + (2sqrt(xy) - x)dy = 0
YT 5 minutes 32 seconds
enginerdmath
Differential Equations Practice #61: ((D+1)^2)y = 2e^(-x)
YT 7 minutes 51 seconds
enginerdmath
Differential Equations Practice #62: dy/dx + (xy)/(1 - x^2) = xsqrt(y)
YT 5 minutes 8 seconds
enginerdmath
Differential Equations Practice #63: x^2ydx - (x^3 + y^3)dy = 0
YT 8 minutes 12 seconds
enginerdmath
Differential Equations Practice #64: xy((dy/dx)^2 + 1) - (x^2 + y^2)(dy/dx) = 0
YT 3 minutes 16 seconds
enginerdmath
Differential Equations Practice #65: (2x + y - 4)dx + (x - 2y + 3)dy = 0
YT 3 minutes 18 seconds
enginerdmath
Differential Equations Practice #66: dy/dx + ysinx = xe^cosx
YT 4 minutes 45 seconds
enginerdmath
Differential Equations Practice #67: (1 - sqrt(x - y))dx - dy = 0
YT 4 minutes 21 seconds
enginerdmath
Differential Equations Practice #68: (xsin(y/x) - ycos(y/x))dx + xcos(y/x)dy = 0
YT 4 minutes 26 seconds
enginerdmath
Differential Equations Practice #69: t(dx/dt) = 6te^(2t) + x(2t - 1)
YT 3 minutes 11 seconds
enginerdmath
Differential Equations Practice #70: dy/dx + (1 + lnx)/(1 + lny) = 0
YT 5 minutes 38 seconds
enginerdmath
Differential Equations Practice #71: (1 - x^2)dy/dx + 2xy = -2xy^2
YT 6 minutes 15 seconds
enginerdmath
Differential Equtions Practice #72: (3x - 1)y’ = 6y - 10(3x - 1)^(1/3)
YT 7 minutes 23 seconds
enginerdmath
Differential Equations Practice #73: y^2dx + x(x + y)dy = 0
YT 3 minutes 35 seconds
enginerdmath
Differential Equations Practice #74: dy = b(cosxdy + ysinxdx) = 0
YT 5 minutes 16 seconds
enginerdmath
Differential Equations Practice #75: (1 + cosx)y’ = sinx(sinx + sinxcosx - y)
YT 5 minutes 28 seconds
enginerdmath
Differential Equations Practice #76: (y+1)dx + (4x - y)dy = 0
YT 6 minutes 16 seconds
enginerdmath
Differential Equations Practice #77: Ldi/dt + Ri = E
YT 5 minutes 33 seconds
enginerdmath
Differential Equations Practice #78: y(x^3 - y^5)dx - x(x^3 + y^5)dy = 0
YT 5 minutes 53 seconds
enginerdmath
Differential Equations Practice #79: (2x - 3y)dx + (2y - 3x)dy = 0
YT 5 minutes 39 seconds
enginerdmath
Differential Equations Practice #80: udx + (1 - 3u)xdu = 3u^2e^(3u)du
YT 3 minutes 52 seconds
enginerdmath
Differential Equations Practice #81: (D^3 + 2D^2 - 9D - 18)y = 0
YT 3 minutes 38 seconds
enginerdmath
Differential Equations Practice #82: (2x + y + 1)dx + (x - 2y - 1)dy = 0
YT 6 minutes 35 seconds
enginerdmath
Differential Equations Practice #83: dy/dx - y/x = (x+y)/(x-1)
YT 5 minutes 5 seconds
enginerdmath
Differential Equations Practice #84
YT 8 minutes 53 seconds
enginerdmath
Differential Equations Practice #85
YT 7 minutes 51 seconds
enginerdmath
Differential Equations Practice #86
YT 6 minutes 5 seconds
enginerdmath
Differential Equations Practice #87
YT 6 minutes 15 seconds
enginerdmath
Differential Equations Practice #88 : Separable DE
YT 6 minutes 53 seconds
enginerdmath
Differential Equations Practice #89 : Bernoulli’s DE
YT 9 minutes 34 seconds
enginerdmath
Differential Equations Practice #90: Substitution Suggested by DE
YT 8 minutes 19 seconds
enginerdmath
Differential Equations Practice #91 : Exact DE
YT 6 minutes 8 seconds
enginerdmath
Differential Equations Practice #92: First Order Linear DE