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Beliebt Rechnen >

t(dy)/(dt)+2y=sin(t)

Lösung

t \frac{d y}{d t} + 2 y = sin (t)

Lösung

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

Schritte zur Lösung

t \frac{d y}{d t} + 2 y = sin (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from 0 to 3 of (e^x)

\int_{0}^{3} (e^{x}) d x

integral of (4x^3+5x)e^{x^2}

\int (4 x^{3} + 5 x) e^{x^{2}} d x

integral of (x^2)/(x^{3+1)}

\int \frac{x ^{2}}{x ^{3 + 1}} d x

integral of 1/3 e^t

\int \frac{1}{3} e^{t} d t

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

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