ycos^2(x)(dy)/(dx)=4+tan^2(x)

Lösung

y cos^{2} (x) \frac{d y}{d x} = 4 + tan^{2} (x)

y = \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}, y = - \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}

Schritte zur Lösung

y cos^{2} (x) \frac{d y}{d x} = 4 + tan^{2} (x)

Solve separable ODE:

y = \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}, y = - \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}

y = \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}, y = - \frac{24 tan ( x ) + 2 tan ^{3} ( x ) + c _{1}}{3}

\int x + 7 d x

d er i v a t i v e ln (\frac{( 4 - x )}{4 + x})

\int \frac{2}{x + 1} d x

y^{^{'}} = \frac{x y ^{2} - 0.5 sin ( 2 x )}{y ( 1 - x ^{2} )}, y (0) = 2

y^{^{'}} = (t + y)^{2} - 1, y (2) = 6