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

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

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(dy)/(dt)=(y-sin(t))+cos(t)

\frac{d y}{d t} = (y - sin (t)) + cos (t)

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

Solution steps

\frac{d y}{d t} = (y - sin (t)) + cos (t)

Solve linear ODE:

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

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

6 x, x^{2}

\int 8 e^{- 8 x} d x

\frac{d}{d t} (- sin (t))

f (x) = \frac{1}{1 x}, at x = 9

x \to 4 lim (\frac{2 x + 3}{9 x + 7})

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