What is the solution for (dy)/(dt)=3cos(t)-5y ?

The solution for (dy)/(dt)=3cos(t)-5y is y=(3(sin(t)+5cos(t)))/(26)+(c_{1})/(e^{5t)}

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(dy)/(dt)=3cos(t)-5y

\frac{d y}{d t} = 3 cos (t) - 5 y

y = \frac{3 ( sin ( t ) + 5 cos ( t ) )}{26} + \frac{c _{1}}{e ^{5 t}}

Solution steps

\frac{d y}{d t} = 3 cos (t) - 5 y

Solve linear ODE:

y = \frac{3 ( sin ( t ) + 5 cos ( t ) )}{26} + \frac{c _{1}}{e ^{5 t}}

y = \frac{3 ( sin ( t ) + 5 cos ( t ) )}{26} + \frac{c _{1}}{e ^{5 t}}

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

\int_{6}^{8} \frac{74}{( x - 6 ) ^{3}} d x

x \to \infty + lim (5 x - 1)

\int_{1}^{7} 1

\int (1 + \frac{( ln ( x ) ) ^{2}}{x}) d x

What is the solution for (dy)/(dt)=3cos(t)-5y ?
The solution for (dy)/(dt)=3cos(t)-5y is y=(3(sin(t)+5cos(t)))/(26)+(c_{1})/(e^{5t)}