What is the solution for (dy)/(dt)=15*y+11 ?

The solution for (dy)/(dt)=15*y+11 is y=(e^{15t+c_{1}})/(15)-11/15

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(dy)/(dt)=15*y+11

\frac{d y}{d t} = 15 \cdot y + 11

y = \frac{e ^{15 t + c_{1}}}{15} - \frac{11}{15}

Solution steps

\frac{d y}{d t} = 15 \cdot y + 11

Solve separable ODE:

y = \frac{e ^{15 t + c_{1}}}{15} - \frac{11}{15}

y = \frac{e ^{15 t + c_{1}}}{15} - \frac{11}{15}

\frac{d y}{d t} = \frac{1}{2} y (1 - y^{2})

f^{^{'}} (x) = 2 f (x) + 4, f (0) = 1

y^{^{'}} = - 0.3 y

\frac{d y}{d x} = x^{4} y^{- 7}, y (0) = 3

\frac{d y}{d x} = (\frac{1 + y}{2 + x})

What is the solution for (dy)/(dt)=15*y+11 ?
The solution for (dy)/(dt)=15*y+11 is y=(e^{15t+c_{1}})/(15)-11/15