Differential Equations Answers

solve the undetermined coefficient y''+7y' =42x²+5x+1

solve the undetermined coefficient y''+3y'+2y=e^-x +e^-2x -x

solve undetermined coefficient y''+y=2x+3e^x

solve undetermined coefficient y'' - y' = sinx

(D² - 2DD' + D'²)z = x²y²ex+y

(3y−2xy^3)dx+(4x−3x^2y^2)dy=0

1. (x²-4xy-2y²)dx + (y²-4xy-2x²)dy=0
2. (x²-xtan²y+sec²y)dy = (tany-2xy-y)dx
3. (2xy⁴e^y+2xy³+y)dx + (x²y⁴e^y-x²y²-3x)dy=0
4. (y/x secy-tany)dx+(secy logx-x)dy=0
5. y dy/dx +4x/3 -y²/3x =0

(D²-D'²-3D+3D')z=xy+7

solve the following differential equations -

sin^-1(dy/dx)= x+y

(1+y)²dx=(tan^-1y-x)dy

(D-1)²(D²+1)² Y= sin² (x/2) + e^x + x

2x²y(d²y/dx²) + 4y²= x² ( dy/dx)² +2xy (dy/dx)

Solve the following PDEs:

i) (3D² - 2D² + D - 1 )z = 4e ^x+y cos(x + y )

ii) (D + D' - 1) (D + 2D' - 3) z = 4 + 3x + 6y .