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Popular >

y^'-2y=3e^x

Solution

y^{^{'}} - 2 y = 3 e^{x}

Solution

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

Solution steps

y^{'} (x) - 2 y = 3 e^{x}

Solve linear ODE:

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

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

Popular Examples

integral from 2 to 10 of (x^2+36)/(12x)

\int_{2}^{10} \frac{x ^{2} + 36}{12 x} d x

x^{'''}-x^{''}-x^'+x=2e^{-t}+3

x^{^{'''}} - x^{^{''}} - x^{^{'}} + x = 2 e^{- t} + 3

(\partial)/(\partial x)(8x-2y-2)

\frac{\partial}{\partial x} (8 x - 2 y - 2)

(\partial)/(\partial y)(y/z)

\frac{\partial}{\partial y} (\frac{y}{z})

integral of 20xsin(5x^2-3)

\int 20 x sin (5 x^{2} - 3) d x

Frequently Asked Questions (FAQ)

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