What is the solution for (dy)/(dx)-cos(x)y= 1/100 cos(x) ?

The solution for (dy)/(dx)-cos(x)y= 1/100 cos(x) is y=(e^{sin(x)+c_{1}})/(100)-1/100

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(dy)/(dx)-cos(x)y= 1/100 cos(x)

\frac{d y}{d x} - cos (x) y = \frac{1}{100} cos (x)

y = \frac{e ^{s i n (x) + c_{1}}}{100} - \frac{1}{100}

Solution steps

\frac{d y}{d x} - cos (x) y = \frac{1}{100} cos (x)

Solve separable ODE:

y = \frac{e ^{s i n (x) + c_{1}}}{100} - \frac{1}{100}

y = \frac{e ^{s i n (x) + c_{1}}}{100} - \frac{1}{100}

What is the solution for (dy)/(dx)-cos(x)y= 1/100 cos(x) ?
The solution for (dy)/(dx)-cos(x)y= 1/100 cos(x) is y=(e^{sin(x)+c_{1}})/(100)-1/100