(dy)/(dx)sin(y)=4x^4-4

Lösung

\frac{d y}{d x} sin (y) = 4 x^{4} - 4

y = arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn, y = - arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} sin (y) = 4 x^{4} - 4

Solve separable ODE:

y = arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn, y = - arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn

y = arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn, y = - arccos (- \frac{4 x ^{5} - 20 x + c _{1}}{5}) + 2 πn

y^{^{'}} = 10 x y - 2 x, y (0) = 1

y^{^{'}} = 10 x y - 2 x, y (0) = 3

y^{^{'}} = 10 x y - 2 x, y (0) = 7

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

\frac{d x}{d t} = 9 x t^{5}