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Popular >

y^{''}-y+x=0

Solution

y^{^{''}} - y + x = 0

Solution

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

Solution steps

y^{''} (x) - y + x = 0

Solve linear ODE:

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

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

Graph

Popular Examples

D (p) = \frac{350}{p}

y^{''}-5y^'+4y=sin(e^{-x})

y^{^{''}} - 5 y^{^{'}} + 4 y = sin (e^{- x})

y^{''}+2y^'+y=e^{-x}sec^2(x)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} sec^{2} (x)

y^{^{''}} + 3 \cdot y^{^{'}} = 2

y^{''}-y^'=0+2t^2+t-1

y^{^{''}} - y^{^{'}} = 0 + 2 t^{2} + t - 1

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y+x=0 ?
The solution for y^{''}-y+x=0 is y=c_{1}e^x+c_{2}e^{-x}+x