What is the solution for (dy)/(dx)=7xsqrt(5y+11),y(0)=9 ?

The solution for (dy)/(dx)=7xsqrt(5y+11),y(0)=9 is y=7sqrt(14)x^2+(245x^4)/(16)+9

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(dy)/(dx)=7xsqrt(5y+11),y(0)=9

\frac{d y}{d x} = 7 x 5 y + 11, y (0) = 9

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

Solution steps

\frac{d y}{d x} = 7 x 5 y + 11

Solve separable ODE:

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

y = 714 x^{2} + \frac{245 x ^{4}}{16} + 9

\frac{d y}{d x} - x y = 0

\frac{d y}{d x} = 2 cos (x) y^{3}

\int_{- 2}^{3} \frac{47}{x ^{4}} d x

\frac{\partial}{\partial t} (ln (t^{2} + 1))

What is the solution for (dy)/(dx)=7xsqrt(5y+11),y(0)=9 ?
The solution for (dy)/(dx)=7xsqrt(5y+11),y(0)=9 is y=7sqrt(14)x^2+(245x^4)/(16)+9