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Popular >

y^'+6y=e^x

Solution

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

Solution

y = \frac{e ^{x}}{7} + \frac{c _{1}}{e ^{6 x}}

Solution steps

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

Solve linear ODE:

y = \frac{e ^{x}}{7} + \frac{c _{1}}{e ^{6 x}}

y = \frac{e ^{x}}{7} + \frac{c _{1}}{e ^{6 x}}

Graph

Popular Examples

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(d^2y)/(dx^2)-4(dy)/(dx)+4y=sin(x)

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = sin (x)

Frequently Asked Questions (FAQ)

What is the solution for y^'+6y=e^x ?
The solution for y^'+6y=e^x is y=(e^x)/7+(c_{1})/(e^{6x)}