(y^2-x^3-2x)dx+2xydy=0

Lösung

(y^{2} - x^{3} - 2 x) d x + 2 x y d y = 0

y = \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}, y = - \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}

Schritte zur Lösung

(y^{2} - x^{3} - 2 x) d x + 2 x y d y = 0

Solve exact ODE:

y = \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}, y = - \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}

y = \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}, y = - \frac{4 x ^{2} + c _{1} + x ^{4}}{2 x}

x \to - 2 lim (\frac{10 x}{x ^{2}})

x \to 1 lim (x^{2} + 3 x + 2)

\int \frac{1}{1 - cos ( x )} d x

a re a x = - 2, x = 2, y = 2 x^{2} + 12, y = 0

\int (3 x^{5}) d x