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Beliebt Rechnen >

(dy)/(dt)+y=cos(t)

Lösung

\frac{d y}{d t} + y = cos (t)

Lösung

y = \frac{sin ( t )}{2} + \frac{cos ( t )}{2} + \frac{c _{1}}{e ^{t}}

Schritte zur Lösung

\frac{d y}{d t} + y = cos (t)

Solve linear ODE:

y = \frac{sin ( t )}{2} + \frac{cos ( t )}{2} + \frac{c _{1}}{e ^{t}}

y = \frac{sin ( t )}{2} + \frac{cos ( t )}{2} + \frac{c _{1}}{e ^{t}}

Graph

Beliebte Beispiele

limit as x approaches 0 of (x|x|)/x

x \to 0 lim (\frac{x ∣ x ∣}{x})

integral of 1/(x^2+7x-6)

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\int \frac{sin ( y )}{2 - cos ( y )} d y

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\int_{0}^{3} x^{3} d x

((x-2ln(x)-1)/(x-1))^'

(\frac{x - 2 ln ( x ) - 1}{x - 1})^{^{'}}