What is the solution for (dy)/(dx)=(2sqrt(y+1)cos(x)) ?

The solution for (dy)/(dx)=(2sqrt(y+1)cos(x)) is y=sin^2(x)+c_{1}sin(x)+(c_{1}^2)/4-1

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(dy)/(dx)=(2sqrt(y+1)cos(x))

\frac{d y}{d x} = (2 y + 1 cos (x))

y = sin^{2} (x) + c_{1} sin (x) + \frac{c _{1}^{2}}{4} - 1

Solution steps

\frac{d y}{d x} = (2 y + 1 cos (x))

Solve separable ODE:

y = sin^{2} (x) + c_{1} sin (x) + \frac{c _{1}^{2}}{4} - 1

y = sin^{2} (x) + c_{1} sin (x) + \frac{c _{1}^{2}}{4} - 1

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

\int - \frac{6}{x ^{4}} d x

\int_{0}^{1} (x^{2} + y^{2} + z^{2}) d x

\int t^{2} e^{- 6 t} d t

n = 1 \sum \infty n!

What is the solution for (dy)/(dx)=(2sqrt(y+1)cos(x)) ?
The solution for (dy)/(dx)=(2sqrt(y+1)cos(x)) is y=sin^2(x)+c_{1}sin(x)+(c_{1}^2)/4-1