(dy)/(dx)=13xsec(y)

Lösung

\frac{d y}{d x} = 13 x sec (y)

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = 13 x sec (y)

Solve separable ODE:

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

y = arcsin (\frac{13 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{13 x ^{2}}{2} - c_{1}) + 2 πn

3 y^{^{'}} = e^{x - 3 y}

\frac{d y}{d x} = \frac{x y - x}{1 - x}

\frac{d y}{d x} = \frac{x ^{9}}{y ^{6}}

\frac{d y}{d x} = - \frac{x}{y}, y (0) = 4

y^{^{'}} = 2 y, y (0) = 5