y^'= 1/2 sqrt(y)cos^2(sqrt(y))

Lösung

y^{^{'}} = \frac{1}{2} y cos^{2} (y)

y = arctan^{2} (\frac{t + c _{1}}{4}) + 2 πn arctan (\frac{t + c _{1}}{4}) + π^{2} n^{2}

Schritte zur Lösung

y^{'} (t) = \frac{1}{2} y cos^{2} (y)

Solve separable ODE:

y = arctan^{2} (\frac{t + c _{1}}{4}) + 2 πn arctan (\frac{t + c _{1}}{4}) + π^{2} n^{2}

y = arctan^{2} (\frac{t + c _{1}}{4}) + 2 πn arctan (\frac{t + c _{1}}{4}) + π^{2} n^{2}

\frac{d h}{d t} = - \frac{3}{100} h - 19

y^{^{'}} = y (e^{x} - x)

y^{^{'}} = sin (y) tan (y)

y^{^{'}} = 2 e^{- 2 y}

\frac{d y}{d x} = - \frac{6}{3} x^{6} y^{7}