What is the solution for ((dy)/(dx))-3y=e^{2x} ?

The solution for ((dy)/(dx))-3y=e^{2x} is y=-e^{2x}+c_{1}e^{3x}

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((dy)/(dx))-3y=e^{2x}

(\frac{d y}{d x}) - 3 y = e^{2 x}

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

Solution steps

(\frac{d y}{d x}) - 3 y = e^{2 x}

Solve linear ODE:

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

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

y^{^{''}} + 4 y^{^{'}} = 6 e^{- 3 t}

\frac{d y}{d x} + \frac{9 y}{1000 + x} = 0.405

f (x) = 3 sin (x), at x = \frac{π}{4}

f (x) = x^{2} - 4 x + 3, at x = 1

\int \frac{15 arctan ( x )}{x ^{2}} d x

What is the solution for ((dy)/(dx))-3y=e^{2x} ?
The solution for ((dy)/(dx))-3y=e^{2x} is y=-e^{2x}+c_{1}e^{3x}