x^2(dy)/(dx)-2xy=3y^4,y(1)= 1/2

Lösung

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}, y (1) = \frac{1}{2}

y = \frac{3 5 x ^{2}}{3 - 9 x ^{5} + 49}

Schritte zur Lösung

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

Solve Bernoulli ODE:

y = \frac{3 5 x ^{2}}{3 - 9 x ^{5} + 49}

y = \frac{3 5 x ^{2}}{3 - 9 x ^{5} + 49}

\int ln (8 x) d x

d er i v a t i v e sin (5 x - 3)

\int 9 x^{2} 4 7 + 4 x^{3} d x

\frac{\partial}{\partial x} (y sin (\frac{y}{x}))

x \to - 4 lim (5 x + 2)