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Popular >

y^{''}-y=-x

Solution

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

Solution

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

Solution steps

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

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

integral of e^{x^{-1}}

\int e^{x^{- 1}} d x

tangent of y=x^3-7x^2+16x+7,\at tangent of

y = x^{3} - 7 x^{2} + 16 x + 7, at

derivative of (6x/(7-tan(x)))

\frac{d}{d x} (\frac{6 x}{7 - tan ( x )})

(- 8 cos (2 x))^{^{'}}

f (x) = 1 + x

Frequently Asked Questions (FAQ)

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