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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\frac{d}{d x} (460 (1 + \frac{x}{x ^{2} + 80}))

\int \frac{5 x - 2}{( x - 2 ) ^{2}} d x

\int \frac{- 3 x ^{2}}{4 x - x ^{2}} d x

\frac{d}{d x} (\frac{1}{27} (9 x^{2} + 6)^{\frac{3}{2}})

y^{^{'}} + 9 y = t + e^{- 5 t}

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