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Beliebt Rechnen >

2y^'=4tcos(t)y^2,y(0)=1

Lösung

2 y^{^{'}} = 4 t cos (t) y^{2}, y (0) = 1

Lösung

y = - \frac{1}{2 t sin ( t ) + 2 cos ( t ) - 3}

Schritte zur Lösung

2 y^{'} (t) = 4 t cos (t) y^{2}

Solve separable ODE:

y = - \frac{1}{2 t sin ( t ) + 2 cos ( t ) - 3}

y = - \frac{1}{2 t sin ( t ) + 2 cos ( t ) - 3}

Graph

Beliebte Beispiele

integral of 25x^{3/2}

\int 25 x^{\frac{3}{2}} d x

integral from 0 to pi/4 of sin^4(2x)

\int_{0}^{\frac{π}{4}} sin^{4} (2 x) d x

derivative 5/(x^4)

d er i v a t i v e \frac{5}{x ^{4}}

derivative (2x)/(5-cot(x))

d er i v a t i v e \frac{2 x}{5 - cot ( x )}

derivative of ln^2(5x)

\frac{d}{d x} (ln^{2} (5 x))