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Popular >

y^'-3y=e^x

Solution

y^{^{'}} - 3 y = e^{x}

Solution

y = - \frac{e ^{x}}{2} + c_{1} e^{3 x}

Solution steps

y^{'} (x) - 3 y = e^{x}

Solve linear ODE:

y = - \frac{e ^{x}}{2} + c_{1} e^{3 x}

y = - \frac{e ^{x}}{2} + c_{1} e^{3 x}

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\int cos (\frac{1}{2} x) d x

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\frac{d}{d x} (\frac{x ^{5}}{5 !})

derivative of x^2+cos(x)

\frac{d}{d x} (x^{2} + cos (x))

Frequently Asked Questions (FAQ)

What is the solution for y^'-3y=e^x ?
The solution for y^'-3y=e^x is y=-(e^x)/2+c_{1}e^{3x}