(dy)/(dx)=(5x^8)/(y^2),y(0)=3

Lösung

\frac{d y}{d x} = \frac{5 x ^{8}}{y ^{2}}, y (0) = 3

y = 3 \frac{5 x ^{9}}{3} + 27

Schritte zur Lösung

\frac{d y}{d x} = \frac{5 x ^{8}}{y ^{2}}

Solve separable ODE:

y = 3 \frac{5 x ^{9}}{3} + 27

y = 3 \frac{5 x ^{9}}{3} + 27

\frac{d y}{d x} = 90 y x^{14}

4 x^{^{'}} + 3 x = 1

y^{^{'}} tan (x) - y ln (y) = 0

\frac{d y}{d t} = t^{\frac{1}{2}} y^{2}

4 x^{2} + x^{2} v^{2} d x - 2 x^{3} v d v = 0