What is the solution for (dy)/(dt)=ycos(3t+2) ?

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

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(dy)/(dt)=ycos(3t+2)

\frac{d y}{d t} = y cos (3 t + 2)

y = e^{\frac{1}{3} s i n (3 t + 2) + c_{1}}

Solution steps

\frac{d y}{d t} = y cos (3 t + 2)

Solve separable ODE:

y = e^{\frac{1}{3} s i n (3 t + 2) + c_{1}}

y = e^{\frac{1}{3} s i n (3 t + 2) + c_{1}}

x, 0, 0.5

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