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Beliebt Rechnen >

(dy)/(dt)=2tcos^2(y),y(0)= pi/4

Lösung

\frac{d y}{d t} = 2 t cos^{2} (y), y (0) = \frac{π}{4}

Lösung

y = arctan (t^{2} + 1) + πn

Schritte zur Lösung

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

Solve separable ODE:

y = arctan (t^{2} + 1) + πn

y = arctan (t^{2} + 1) + πn

Graph

Beliebte Beispiele

(x+\H(x)x)dx+x(\H(x)dx+xd\H(x))=0

(x + H (x) x) d x + x (H (x) d x + x d H (x)) = 0

(dy)/(dx)=-x/(y^2)

\frac{d y}{d x} = - \frac{x}{y ^{2}}

\frac{1}{1 + y ^{2}} y^{^{'}} = x

y^'+2yt=0,y(1)=((e+3))/2

y^{^{'}} + 2 y t = 0, y (1) = \frac{( e + 3 )}{2}

(dy)/(dx)=14e^{5x-4y}

\frac{d y}{d x} = 14 e^{5 x - 4 y}