(x^2+9)(dy)/(dx)=xy

Lösung

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

y = c_{1} x^{2} + 9

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x^{2} + 9

y = c_{1} x^{2} + 9

y^{^{'}} = x y^{2} sin (x^{2}), y (0) = 1

y^{^{'}} = y^{2} + 1

x + 3 y^{2} x^{2} + 1 y^{^{'}} = 0

5 x^{^{'}} + 2 x - 1 = 0

y^{^{'}} = x^{2} \cdot y - 1.1 \cdot y