ysqrt(36-x^2)(dy)/(dx)-xsqrt(64-y^2)=0

Lösung

y 36 - x^{2} \frac{d y}{d x} - x 64 - y^{2} = 0

y = x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28, y = - x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28

Schritte zur Lösung

y 36 - x^{2} \frac{d y}{d x} - x 64 - y^{2} = 0

Solve separable ODE:

y = x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28, y = - x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28

y = x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28, y = - x^{2} + 2 c_{1} - x^{2} + 36 - c_{1}^{2} + 28

2 x \frac{d y}{d x} + y = 1

y^{^{'}} = 0.1 y

y^{^{'}} = \frac{1}{e ^{y}}

d y = e^{2 y} + 1 d x

\frac{d y}{d x} = e^{x} sin (2 y)