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Popular >

y^'+2y=6e^x

Solution

y^{^{'}} + 2 y = 6 e^{x}

Solution

y = 2 e^{x} + \frac{c _{1}}{e ^{2 x}}

Solution steps

y^{'} (x) + 2 y = 6 e^{x}

Solve linear ODE:

y = 2 e^{x} + \frac{c _{1}}{e ^{2 x}}

y = 2 e^{x} + \frac{c _{1}}{e ^{2 x}}

Popular Examples

(dy)/(dx)=xe^{-y}+10e^{-y}

\frac{d y}{d x} = x e^{- y} + 10 e^{- y}

integral of (14x)/(sqrt(1-x^4))

\int \frac{14 x}{1 - x ^{4}} d x

(\partial)/(\partial x)(xy)

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

(\partial)/(\partial t)(10e^{-0.25x}sin((2pi)/(365)t-0.25x))

\frac{\partial}{\partial t} (10 e^{- 0.25 x} sin (\frac{2 π}{365} t - 0.25 x))

integral of cos(5x)sin(x)

\int cos (5 x) sin (x) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'+2y=6e^x ?
The solution for y^'+2y=6e^x is y=2e^x+(c_{1})/(e^{2x)}