(dy)/(dx)=(e^{2x})/(cos(2y))

Lösung

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

y = \frac{arcsin ( e ^{2 x} + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - e ^{2 x} - c _{1} )}{2} + πn

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{arcsin ( e ^{2 x} + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - e ^{2 x} - c _{1} )}{2} + πn

y = \frac{arcsin ( e ^{2 x} + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - e ^{2 x} - c _{1} )}{2} + πn

y^{^{'}} = - 2 x e^{y}, y (2) = 5

d y = x^{4} (1 - 5 y) d x

y^{^{'}} + y - 1 = 0

7 y y^{^{'}} = x, y (7) = 3

y^{^{'}} - \frac{x}{5 y ^{4}} = 0, y (0) = 2, y (2) = a