What is the solution for (dv)/(dx)+10v=5x ?

The solution for (dv)/(dx)+10v=5x is v=(10x-1)/(20)+(c_{1})/(e^{10x)}

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(dv)/(dx)+10v=5x

\frac{d v}{d x} + 10 v = 5 x

v = \frac{10 x - 1}{20} + \frac{c _{1}}{e ^{10 x}}

Solution steps

\frac{d v}{d x} + 10 v = 5 x

Solve linear ODE:

v = \frac{10 x - 1}{20} + \frac{c _{1}}{e ^{10 x}}

v = \frac{10 x - 1}{20} + \frac{c _{1}}{e ^{10 x}}

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What is the solution for (dv)/(dx)+10v=5x ?
The solution for (dv)/(dx)+10v=5x is v=(10x-1)/(20)+(c_{1})/(e^{10x)}