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Beliebt Rechnen >

ty^'+2y=sin(t),y(pi/2)=7

Lösung

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 7

Lösung

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{7 π ^{2} - 4}{4 t ^{2}}

Schritte zur Lösung

t y^{'} (t) + 2 y = sin (t)

Solve linear ODE:

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{7 π ^{2} - 4}{4 t ^{2}}

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{7 π ^{2} - 4}{4 t ^{2}}

Graph

Beliebte Beispiele

fläche x^2-41,7-2x

a re a x^{2} - 41, 7 - 2 x

tangent sqrt(x),\at x=100

t an g e n t x, at x = 100

derivative 2t^2

d er i v a t i v e 2 t^{2}

derivative of arctan(9/x)

\frac{d}{d x} (arctan (\frac{9}{x}))

tangent f(x)=sqrt(5x+6),(6,6)

t an g e n t f (x) = 5 x + 6, (6, 6)