What is the solution for (dy)/(dx)y=sqrt(u),u=x^2+10 ?

The solution for (dy)/(dx)y=sqrt(u),u=x^2+10 is y=sqrt(2\sqrt{u)x+c_{1}},y=-sqrt(2\sqrt{u)x+c_{1}}

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(dy)/(dx)y=sqrt(u),u=x^2+10

\frac{d y}{d x} y = u, u = x^{2} + 10

y = 2 u x + c_{1}, y = - 2 u x + c_{1}

Solution steps

\frac{d y}{d x} y = u

Solve separable ODE:

y = 2 u x + c_{1}, y = - 2 u x + c_{1}

y = 2 u x + c_{1}, y = - 2 u x + c_{1}

What is the solution for (dy)/(dx)y=sqrt(u),u=x^2+10 ?
The solution for (dy)/(dx)y=sqrt(u),u=x^2+10 is y=sqrt(2\sqrt{u)x+c_{1}},y=-sqrt(2\sqrt{u)x+c_{1}}