3(1+x^2)(dy)/(dx)=2xy^4

Lösung

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

y = - 3 \frac{1}{ln ( x ^{2} + 1 ) + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - 3 \frac{1}{ln ( x ^{2} + 1 ) + c _{1}}

y = - 3 \frac{1}{ln ( x ^{2} + 1 ) + c _{1}}

\int \frac{1}{4 - 9 x ^{2}} d x

x \to 3 lim (6 - 2 x)

x \to i lim (x^{2} + 2 x)

\int \frac{1 - x}{x} d x

\int - \frac{2 x y}{( x ^{2} + y ^{2} ) ^{2}} d y