What is the solution for (dy)/(dt)=(5+sin(t))*(y/5) ?

The solution for (dy)/(dt)=(5+sin(t))*(y/5) is y=e^{t-1/5 cos(t)+c_{1}}

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(dy)/(dt)=(5+sin(t))*(y/5)

\frac{d y}{d t} = (5 + sin (t)) \cdot (\frac{y}{5})

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

Solution steps

\frac{d y}{d t} = (5 + sin (t)) \cdot (\frac{y}{5})

Solve separable ODE:

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

\int \frac{x + 11}{( x - 4 ) ( x + 1 )} d x

y = a x + b

x^{2} = y, x^{2} = - (y - 2)

\frac{\partial}{\partial x} (x + 3 y^{\frac{1}{3}})

- y^{^{'}} + \frac{3 y}{x} = \frac{y ^{2}}{x}

What is the solution for (dy)/(dt)=(5+sin(t))*(y/5) ?
The solution for (dy)/(dt)=(5+sin(t))*(y/5) is y=e^{t-1/5 cos(t)+c_{1}}