(dx)/(dt)=t(1+x^2)

Lösung

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

x = tan (\frac{t ^{2}}{2} + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

x = tan (\frac{t ^{2}}{2} + c_{1})

x = tan (\frac{t ^{2}}{2} + c_{1})

y^{^{'}} + (\frac{( x - 2 )}{( x - 1 )}) \cdot y = 0

y = 8 y^{^{'}}

y^{^{'}} = (\frac{y}{x})^{2}

\frac{d v}{d t} = 6 - 3 v

y^{^{'}} = tan (x) cot (y)