What is the solution for (dy)/(dx)=2(cos(x))y ?

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

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(dy)/(dx)=2(cos(x))y

\frac{d y}{d x} = 2 (cos (x)) y

y = e^{2 s i n (x) + c_{1}}

Solution steps

\frac{d y}{d x} = 2 (cos (x)) y

Solve separable ODE:

y = e^{2 s i n (x) + c_{1}}

y = e^{2 s i n (x) + c_{1}}

\frac{d y}{d x} x^{2} y - 2 x = 5

y^{^{'}} = 0.25 - y^{2}

2 x \frac{d x}{d t} - (x^{2} + 1) = 0

\frac{d y}{d x} = \frac{2 y + 3}{x ^{2}}

(x y - 2 x + 4 y - 8) d y - (x y + 3 x - y - 3) d x = 0

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