What is the solution for (dy)/(dx)+y+3sin(x)=0 ?

The solution for (dy)/(dx)+y+3sin(x)=0 is y=-(3(sin(x)-cos(x)))/2+(c_{1})/(e^x)

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(dy)/(dx)+y+3sin(x)=0

\frac{d y}{d x} + y + 3 sin (x) = 0

y = - \frac{3 ( sin ( x ) - cos ( x ) )}{2} + \frac{c _{1}}{e ^{x}}

Solution steps

\frac{d y}{d x} + y + 3 sin (x) = 0

Solve linear ODE:

y = - \frac{3 ( sin ( x ) - cos ( x ) )}{2} + \frac{c _{1}}{e ^{x}}

y = - \frac{3 ( sin ( x ) - cos ( x ) )}{2} + \frac{c _{1}}{e ^{x}}

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

y = \frac{7}{x}, (4, \frac{7}{2})

\frac{d}{d x} (50 - x^{2} - x)

x \to \frac{π}{2} lim (tan (x))

\frac{d}{d x} (64)

What is the solution for (dy)/(dx)+y+3sin(x)=0 ?
The solution for (dy)/(dx)+y+3sin(x)=0 is y=-(3(sin(x)-cos(x)))/2+(c_{1})/(e^x)