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Popular >

y^{''}-y=2e^x

Solution

y^{^{''}} - y = 2 e^{x}

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of (x+ae^{3x})

\frac{d}{d x} ((x + a) e^{3 x})

d/(dy)(sqrt(y))

\frac{d}{d y} (y)

integral from 0 to 1 of e^{x^3}

\int_{0}^{1} e^{x^{3}} d x

tangent of f(x)=(-2x)/(x^2+1),(1,-1)tangent of

f (x) = \frac{- 2 x}{x ^{2} + 1}, (1, - 1)

integral of x/(sqrt(64x^2-1))

\int \frac{x}{64 x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

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