(x^2+9)dy=(2x-10xy)dx

Lösung

(x^{2} + 9) d y = (2 x - 10 x y) d x

y = \frac{c _{1}}{5 ( x ^{10} + 45 x ^{8} + 810 x ^{6} + 7290 x ^{4} + 32805 x ^{2} + 59049 )} + \frac{1}{5}

Schritte zur Lösung

(x^{2} + 9) d y = (2 x - 10 x y) d x

Solve separable ODE:

y = \frac{c _{1}}{5 ( x ^{10} + 45 x ^{8} + 810 x ^{6} + 7290 x ^{4} + 32805 x ^{2} + 59049 )} + \frac{1}{5}

y = \frac{c _{1}}{5 ( x ^{10} + 45 x ^{8} + 810 x ^{6} + 7290 x ^{4} + 32805 x ^{2} + 59049 )} + \frac{1}{5}

\frac{d y}{d t} - 2 t y = t, y (0) = 1

y + 5 + (x - 2) \frac{d y}{d x} = 0

x ln (x) d y + y ln (y) d x = 0

y^{^{'}} + a \cdot y^{2} = - b

f^{^{'}} (t) = f (t)^{- 1}