What is the solution for (dy)/(dt)=0.3y+26e^{0.3t} ?

The solution for (dy)/(dt)=0.3y+26e^{0.3t} is y=26e^{0.3t}t+c_{1}e^{0.3t}

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(dy)/(dt)=0.3y+26e^{0.3t}

\frac{d y}{d t} = 0.3 y + 26 e^{0.3 t}

y = 26 e^{0.3 t} t + c_{1} e^{0.3 t}

Solution steps

\frac{d y}{d t} = 0.3 y + 26 e^{0.3 t}

Solve linear ODE:

y = 26 e^{0.3 t} t + c_{1} e^{0.3 t}

y = 26 e^{0.3 t} t + c_{1} e^{0.3 t}

What is the solution for (dy)/(dt)=0.3y+26e^{0.3t} ?
The solution for (dy)/(dt)=0.3y+26e^{0.3t} is y=26e^{0.3t}t+c_{1}e^{0.3t}