cos^2(t)(dy)/(dt)=1

Lösung

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

y = tan (t) + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d t}

mit

y^{'} (t)

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

Isoliere

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{1}{cos ^{2} ( t )} d t

\int \frac{1}{cos ^{2} ( t )} d t = tan (t) + c_{1}

y = tan (t) + c_{1}

\frac{d}{d x} (\frac{3 x - 1}{x})

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2})

\frac{d ^{2}}{d x ^{2}} (x^{2})

\int_{0}^{16} sin (x) d x

\int sin^{n} (x) d x