(3x^2-6xy)dx-(3x^2+2y)dy=0

Lösung

(3 x^{2} - 6 x y) d x - (3 x^{2} + 2 y) d y = 0

y = - \frac{3 x ^{2} + 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}, y = - \frac{3 x ^{2} - 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}

Schritte zur Lösung

(3 x^{2} - 6 x y) d x - (3 x^{2} + 2 y) d y = 0

Solve exact ODE:

y = - \frac{3 x ^{2} + 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}, y = - \frac{3 x ^{2} - 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}

y = - \frac{3 x ^{2} + 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}, y = - \frac{3 x ^{2} - 9 x ^{4} + 4 ( x ^{3} - c _{1} )}{2}

x \to π lim (x + sin (x))

\frac{d}{d x} (\frac{x - 1}{x + 3})

d er i v a t i v e \frac{3 x}{x ^{2} - 6}

\int x sin (5 b x) d x

n = 1 \sum \infty \frac{x ^{n}}{5 ^{n}}