(dy)/(dx)=y^2sin(x^2)

Lösung

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

y = - \frac{2 ( \frac{π}{2} § ( \frac{2}{π} x ) - c _{1} )}{π § ( \frac{2}{π} x ) ^{2} - 2 c _{1}^{2}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{2 ( \frac{π}{2} § ( \frac{2}{π} x ) - c _{1} )}{π § ( \frac{2}{π} x ) ^{2} - 2 c _{1}^{2}}

y = - \frac{2 ( \frac{π}{2} § ( \frac{2}{π} x ) - c _{1} )}{π § ( \frac{2}{π} x ) ^{2} - 2 c _{1}^{2}}

x \to - 1 - lim (\frac{3}{x ^{2} - 1})

\frac{\partial}{\partial x} (\frac{5 x y}{x - y})

t an g e n t f (x) = \frac{6 x}{( 5 - 2 x ) ^{4}}, at x = 1

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

\frac{d}{d x} (\frac{ln ( x )}{5 x ^{3}})