What is the solution for (dy)/(dx)+y=sin(x) ?

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

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(dy)/(dx)+y=sin(x)

\frac{d y}{d x} + y = sin (x)

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

Solution steps

\frac{d y}{d x} + y = sin (x)

Solve linear ODE:

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

\int_{- \frac{π}{4}}^{0} 2 sec^{3} (x) d x

\frac{d}{d x} (1 - \frac{x}{2} - ln (2 + 9 x - x^{2}))

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