What is the solution for (dy)/(dt)=2y+3e^{2t} ?

The solution for (dy)/(dt)=2y+3e^{2t} is y=3e^{2t}t+c_{1}e^{2t}

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(dy)/(dt)=2y+3e^{2t}

\frac{d y}{d t} = 2 y + 3 e^{2 t}

y = 3 e^{2 t} t + c_{1} e^{2 t}

Solution steps

\frac{d y}{d t} = 2 y + 3 e^{2 t}

Solve linear ODE:

y = 3 e^{2 t} t + c_{1} e^{2 t}

y = 3 e^{2 t} t + c_{1} e^{2 t}

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

x \to 0 lim (\frac{( 9 ^{x} - 7 ^{x} )}{x})

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14 x + \frac{d y}{d x} = 0

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