What is the solution for (dy)/(dx)=(3x^4)/(y^4),y(0)=4 ?

The solution for (dy)/(dx)=(3x^4)/(y^4),y(0)=4 is y=\sqrt[5]{3x^5+1024}

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(dy)/(dx)=(3x^4)/(y^4),y(0)=4

\frac{d y}{d x} = \frac{3 x ^{4}}{y ^{4}}, y (0) = 4

y = 5 3 x^{5} + 1024

Solution steps

\frac{d y}{d x} = \frac{3 x ^{4}}{y ^{4}}

Solve separable ODE:

y = 5 3 x^{5} + 1024

y = 5 3 x^{5} + 1024

\frac{d y}{d x} + 3 e x^{2} y = 6 x^{2}

\frac{d y}{d x} = 2 y^{2}, x = 2

\frac{d y}{d x} = 4 x^{2} y + 6 y

P^{^{'}} = (P) (t) (1 - \frac{P}{10})

(1 + x^{2}) \cdot y^{^{'}} + \frac{y}{arctan ( x )} = 0

What is the solution for (dy)/(dx)=(3x^4)/(y^4),y(0)=4 ?
The solution for (dy)/(dx)=(3x^4)/(y^4),y(0)=4 is y=\sqrt[5]{3x^5+1024}