(dy)/(dx)= 1/10 sqrt(y)cos^2(sqrt(y))

Lösung

\frac{d y}{d x} = \frac{1}{10} y cos^{2} (y)

y = arctan^{2} (\frac{x + c _{1}}{20}) + 2 πn arctan (\frac{x + c _{1}}{20}) + π^{2} n^{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{10} y cos^{2} (y)

Solve separable ODE:

y = arctan^{2} (\frac{x + c _{1}}{20}) + 2 πn arctan (\frac{x + c _{1}}{20}) + π^{2} n^{2}

y = arctan^{2} (\frac{x + c _{1}}{20}) + 2 πn arctan (\frac{x + c _{1}}{20}) + π^{2} n^{2}

\frac{d}{d x} (\frac{x ^{2} + 32 x}{8})

\int_{0}^{1} 2 π (2 - y) (2 y^{2}) d y

\int_{2}^{3} \frac{1}{x ^{2}} d x

\int e^{\frac{x}{6} + 4} d x

\frac{d}{d x} (- 3 x^{6} ln (x))