(dy)/(dx)=5xsec(y)

Lösung

\frac{d y}{d x} = 5 x sec (y)

y = arcsin (\frac{5 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{5 x ^{2}}{2} - c_{1}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = 5 x sec (y)

Solve separable ODE:

y = arcsin (\frac{5 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{5 x ^{2}}{2} - c_{1}) + 2 πn

y = arcsin (\frac{5 x ^{2}}{2} + c_{1}) + 2 πn, y = π + arcsin (- \frac{5 x ^{2}}{2} - c_{1}) + 2 πn

3 x (y^{2} + 1) d x + y (x^{2} + 1) d y = 0

\frac{d y}{d x} = - y, y (0) = 1

y^{2} y^{^{'}} - cos (x) = 0

(1 + y^{2}) cos (x) d x - \frac{1}{x} d y = 0

\frac{d v}{d t} = 4 - 6 v