y^2sec(2x)(dy)/(dx)=1,y(0)=0

Lösung

y^{2} sec (2 x) \frac{d y}{d x} = 1, y (0) = 0

y = 3 \frac{3}{2} sin (2 x)

Schritte zur Lösung

y^{2} sec (2 x) \frac{d y}{d x} = 1

Solve separable ODE:

y = 3 \frac{3}{2} sin (2 x)

y = 3 \frac{3}{2} sin (2 x)

x y^{3} d x + e^{x^{3}} d y = 0

\frac{d y}{d x} = \frac{y sin ( x )}{y + 1}

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

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

d y = 3 x^{2} (4 - y) d x