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Popular >

y^{''}+y^'=2x

Solution

y^{^{''}} + y^{^{'}} = 2 x

Solution

y = c_{1} + c_{2} e^{- x} + x^{2} - 2 x

Solution steps

y^{''} (x) + y^{'} (x) = 2 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + x^{2} - 2 x

y = c_{1} + c_{2} e^{- x} + x^{2} - 2 x

Graph

Popular Examples

y^{''}+2y^'+5y=16e^{-t}cos(2t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 16 e^{- t} cos (2 t)

y^{''}+y^'=x^3-1

y^{^{''}} + y^{^{'}} = x^{3} - 1

y^{^{''}} + y = 2 + t

y^{''}+8y^'+2y=cos(x)

y^{^{''}} + 8 y^{^{'}} + 2 y = cos (x)

y^{''}-2y^'+5y=8sin(x)-4cos(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = 8 sin (x) - 4 cos (x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=2x ?
The solution for y^{''}+y^'=2x is y=c_{1}+c_{2}e^{-x}+x^2-2x