What is the solution for (dy)/(dx)=6xsqrt(5y+7),y(0)=9 ?

The solution for (dy)/(dx)=6xsqrt(5y+7),y(0)=9 is y=6sqrt(13)x^2+(45x^4)/4+9

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(dy)/(dx)=6xsqrt(5y+7),y(0)=9

\frac{d y}{d x} = 6 x 5 y + 7, y (0) = 9

y = 613 x^{2} + \frac{45 x ^{4}}{4} + 9

Solution steps

\frac{d y}{d x} = 6 x 5 y + 7

Solve separable ODE:

y = 613 x^{2} + \frac{45 x ^{4}}{4} + 9

y = 613 x^{2} + \frac{45 x ^{4}}{4} + 9

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (11)

5 y^{^{'}} - 6 e^{3 x} y = 0, y (0) = 5

y^{^{'}} + \frac{y}{10} = \frac{v}{10}

\frac{d y}{d t} - 6 t y^{2} = 0

y + 5 + (x - 2) y^{^{'}} = 0

What is the solution for (dy)/(dx)=6xsqrt(5y+7),y(0)=9 ?
The solution for (dy)/(dx)=6xsqrt(5y+7),y(0)=9 is y=6sqrt(13)x^2+(45x^4)/4+9