y^'=(sin(x))(cos^2(x))(tan(y))

Lösung

y^{^{'}} = (sin (x)) (cos^{2} (x)) (tan (y))

y = arcsin (e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn, y = π + arcsin (- e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn

Schritte zur Lösung

y^{'} (x) = (sin (x)) (cos^{2} (x)) (tan (y))

Solve separable ODE:

y = arcsin (e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn, y = π + arcsin (- e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn

y = arcsin (e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn, y = π + arcsin (- e^{- \frac{c o s ^{3} ( x )}{3} + c_{1}}) + 2 πn

\frac{d y}{d x} = y (- 8 - y)

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

f^{^{'}} (t) - f (t) = 2, f (0) = 0

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

\frac{d y}{d t} = \frac{e ^{t}}{2 y}