What is the solution for (dy)/(dt)=y+1+2*sin(t) ?

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

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(dy)/(dt)=y+1+2*sin(t)

\frac{d y}{d t} = y + 1 + 2 \cdot sin (t)

y = - 1 - cos (t) - sin (t) + c_{1} e^{t}

Solution steps

\frac{d y}{d t} = y + 1 + 2 \cdot sin (t)

Solve linear ODE:

y = - 1 - cos (t) - sin (t) + c_{1} e^{t}

y = - 1 - cos (t) - sin (t) + c_{1} e^{t}

ln (p)

f (t) = 3 t + 4 (t)^{2}

\int \frac{3 + 5 x - 6 x ^{2} - 7 x ^{3}}{2 x ^{2}} d x

\frac{d}{d x} (x cos (x) sin (x))

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