What is the solution for y^'=5xsqrt(3y+11),y(0)=3 ?

The solution for y^'=5xsqrt(3y+11),y(0)=3 is y=5sqrt(5)x^2+(75x^4)/(16)+3

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y^'=5xsqrt(3y+11),y(0)=3

y^{^{'}} = 5 x 3 y + 11, y (0) = 3

y = 55 x^{2} + \frac{75 x ^{4}}{16} + 3

Solution steps

y^{'} (x) = 5 x 3 y + 11

Solve separable ODE:

y = 55 x^{2} + \frac{75 x ^{4}}{16} + 3

y = 55 x^{2} + \frac{75 x ^{4}}{16} + 3

f (x) = ln (ln (3 x))

\int \frac{1}{3} x^{- \frac{2}{3}} d x

t^{5}

- 3 x^{3} - 3 x^{2} - x + 3

\frac{d}{d x} (\frac{1}{x ln ( x ^{9} )})

What is the solution for y^'=5xsqrt(3y+11),y(0)=3 ?
The solution for y^'=5xsqrt(3y+11),y(0)=3 is y=5sqrt(5)x^2+(75x^4)/(16)+3