What is the solution for (dy)/(dx)ysqrt(x+1)=4 ?

The solution for (dy)/(dx)ysqrt(x+1)=4 is y=sqrt(16\sqrt{x+1)+c_{1}},y=-sqrt(16\sqrt{x+1)+c_{1}}

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(dy)/(dx)ysqrt(x+1)=4

\frac{d y}{d x} y x + 1 = 4

y = 16 x + 1 + c_{1}, y = - 16 x + 1 + c_{1}

Solution steps

\frac{d y}{d x} y x + 1 = 4

Solve separable ODE:

y = 16 x + 1 + c_{1}, y = - 16 x + 1 + c_{1}

y = 16 x + 1 + c_{1}, y = - 16 x + 1 + c_{1}

y^{2} - \frac{y ^{^{'}}}{x} = 0

\frac{d y}{d x} x y + 2 ey = 2 e

\frac{d y}{d x} = e^{5 y}

\frac{d z}{d t} + e^{(t + z)} = 0

y^{^{'}} = 4 y - 5

What is the solution for (dy)/(dx)ysqrt(x+1)=4 ?
The solution for (dy)/(dx)ysqrt(x+1)=4 is y=sqrt(16\sqrt{x+1)+c_{1}},y=-sqrt(16\sqrt{x+1)+c_{1}}