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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{^{'}} = 9 \cdot t \cdot e^{- y}, y (0) = 3

y^{^{'}} = csc (y) cos (\frac{x}{2}), y (3 π) = \frac{3 π}{2}

\frac{d y}{d x} tan (y) = x

\frac{d x}{d y} = y x, y (1) = 7

3 y \frac{d y}{d x} + \frac{1}{y} = 0

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