What is the solution for (dy)/(dx)=3cos(x)y,y(pi/2)=-2 ?

The solution for (dy)/(dx)=3cos(x)y,y(pi/2)=-2 is y=-2e^{3sin(x)-3}

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(dy)/(dx)=3cos(x)y,y(pi/2)=-2

\frac{d y}{d x} = 3 cos (x) y, y (\frac{π}{2}) = - 2

y = - 2 e^{3 s i n (x) - 3}

Solution steps

\frac{d y}{d x} = 3 cos (x) y

Solve linear ODE:

y = - 2 e^{3 s i n (x) - 3}

y = - 2 e^{3 s i n (x) - 3}

\frac{d}{d x} ((x^{2}) (\frac{2}{x ^{2}} + \frac{5}{x ^{3}}))

x \to - \infty lim (0. 1^{x})

\frac{d}{d x} (x^{\frac{4}{5}} (x - 2)^{2})

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

x \to \frac{π}{2} lim (3 sec (x))

What is the solution for (dy)/(dx)=3cos(x)y,y(pi/2)=-2 ?
The solution for (dy)/(dx)=3cos(x)y,y(pi/2)=-2 is y=-2e^{3sin(x)-3}