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Beliebt Rechnen >

2y^{''}+5y^'-3y=0,y(0)=3,y^'(0)=19

Lösung

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 3, y^{^{'}} (0) = 19

Lösung

y = 8 e^{\frac{t}{2}} - 5 e^{- 3 t}

Schritte zur Lösung

2 y^{''} (t) + 5 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = 8 e^{\frac{t}{2}} - 5 e^{- 3 t}

y = 8 e^{\frac{t}{2}} - 5 e^{- 3 t}

Graph

Beliebte Beispiele

derivative f(x)= 7/(8t^4)

d er i v a t i v e f (x) = \frac{7}{8 t ^{4}}

tangent f(x)=2x^3-x^2+2,\at x=1

t an g e n t f (x) = 2 x^{3} - x^{2} + 2, at x = 1

derivative of ln(2-3x)

\frac{d}{d x} (ln (2 - 3 x))

fläche 11x,x^2-12

a re a 11 x, x^{2} - 12

derivative sin(x+pi/2)

d er i v a t i v e sin (x + \frac{π}{2})