What is the solution for (dy)/(dx)+y=5sin(2x) ?

The solution for (dy)/(dx)+y=5sin(2x) is y=-2cos(2x)+sin(2x)+(c_{1})/(e^x)

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(dy)/(dx)+y=5sin(2x)

\frac{d y}{d x} + y = 5 sin (2 x)

y = - 2 cos (2 x) + sin (2 x) + \frac{c _{1}}{e ^{x}}

Solution steps

\frac{d y}{d x} + y = 5 sin (2 x)

Solve linear ODE:

y = - 2 cos (2 x) + sin (2 x) + \frac{c _{1}}{e ^{x}}

y = - 2 cos (2 x) + sin (2 x) + \frac{c _{1}}{e ^{x}}

What is the solution for (dy)/(dx)+y=5sin(2x) ?
The solution for (dy)/(dx)+y=5sin(2x) is y=-2cos(2x)+sin(2x)+(c_{1})/(e^x)