What is the solution for (dy)/(dt)=6y+2t-4 ?

The solution for (dy)/(dt)=6y+2t-4 is y=-t/3+11/18+c_{1}e^{6t}

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(dy)/(dt)=6y+2t-4

\frac{d y}{d t} = 6 y + 2 t - 4

y = - \frac{t}{3} + \frac{11}{18} + c_{1} e^{6 t}

Solution steps

\frac{d y}{d t} = 6 y + 2 t - 4

Solve linear ODE:

y = - \frac{t}{3} + \frac{11}{18} + c_{1} e^{6 t}

y = - \frac{t}{3} + \frac{11}{18} + c_{1} e^{6 t}

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

n = 1 \sum \infty 5^{n} x^{n}

arctan (4 x)

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What is the solution for (dy)/(dt)=6y+2t-4 ?
The solution for (dy)/(dt)=6y+2t-4 is y=-t/3+11/18+c_{1}e^{6t}