y(dy)/(dx)=4x(y^2+7)^9

Lösung

y \frac{d y}{d x} = 4 x (y^{2} + 7)^{9}

y = 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7

Schritte zur Lösung

y \frac{d y}{d x} = 4 x (y^{2} + 7)^{9}

Solve separable ODE:

y = 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7

y = 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7, y = - - 8 - \frac{1}{16 ( 2 x ^{2} + c _{1} )} - 7

\frac{d y}{d x} = y - 10

3 x + x y = \frac{d y}{d x}

(x^{2} - 20 x + 51) \frac{d y}{d x} = y

7 \frac{d y}{d x} + x^{2} y = 0

4 y^{^{'}} + 2 x + 2 c e^{2 y} y^{^{'}} = 0