y(dy)/(dx)= 1/(sqrt(1-y^2))

Lösung

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

y = - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1, y = - - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1, y = - - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1

y = - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1, y = - - 3 9 x^{2} + 18 c_{1} x + 9 c_{1}^{2} + 1

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

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

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

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

y^{^{'}} = 4 y - 20