y^'csc(t)=(-y^7)/6

Lösung

y^{^{'}} csc (t) = \frac{- y ^{7}}{6}

y = 6 - \frac{1}{cos ( t ) + c _{1}}, y = - 6 - \frac{1}{cos ( t ) + c _{1}}

Schritte zur Lösung

y^{'} (t) csc (t) = \frac{- y ^{7}}{6}

Solve separable ODE:

y = 6 - \frac{1}{cos ( t ) + c _{1}}, y = - 6 - \frac{1}{cos ( t ) + c _{1}}

y = 6 - \frac{1}{cos ( t ) + c _{1}}, y = - 6 - \frac{1}{cos ( t ) + c _{1}}

y^{^{'}} = \frac{ln ( x )}{x y ^{2}}

y^{^{'}} + 4 y = 5

y^{^{'}} + 2 y = - 8

\frac{d y}{d x} = - \frac{3}{5} x^{7} y^{3}

\frac{d x}{d y} + 2 x y^{2} = 0