a^2(dy-dx)=x^2dy+y^2dx

Lösung

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

y = tan (\frac{ln ( \frac{a + x}{a} ) - ln ( \frac{x - a}{a} ) + c _{1}}{2}) a

Schritte zur Lösung

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

Solve separable ODE:

y = tan (\frac{ln ( \frac{a + x}{a} ) - ln ( \frac{x - a}{a} ) + c _{1}}{2}) a

y = tan (\frac{ln ( \frac{a + x}{a} ) - ln ( \frac{x - a}{a} ) + c _{1}}{2}) a

y \frac{d y}{d x} = \frac{1}{1 - y ^{2}}

y^{^{'}} tan (x) = y

y^{^{'}} + cos (t) y = 0

3 y^{^{'}} - 3 y = 0

2 y^{^{'}} + 6 y = 2