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Beliebt Rechnen >

y^{''}-6y^'+34y=25e^{3t},y(0)=1

Lösung

y^{^{''}} - 6 y^{^{'}} + 34 y = 25 e^{3 t}, y (0) = 1

Lösung

y = c_{2} e^{3 t} sin (5 t) + e^{3 t}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 34 y = 25 e^{3 t}

Solve linear ODE:

y = c_{2} e^{3 t} sin (5 t) + e^{3 t}

y = c_{2} e^{3 t} sin (5 t) + e^{3 t}

Graph

Beliebte Beispiele

(D^2-9D+18)y=e^{e^{-3x}}

(D^{2} - 9 D + 18) y = e^{e^{- 3 x}}

2y^{''}+y^'+3y=33cos(3t)-22sin(3t)

2 y^{^{''}} + y^{^{'}} + 3 y = 33 cos (3 t) - 22 sin (3 t)

d(x)=(x^2-12x+20)/(3x)

d (x) = \frac{x ^{2} - 12 x + 20}{3 x}

4y^{''}+16y=17sec^2(4t)

4 y^{^{''}} + 16 y = 17 sec^{2} (4 t)

-y^{''}+y=e^{1*x},y(0)=0,y(1)=0

- y^{^{''}} + y = e^{1 \cdot x}, y (0) = 0, y (1) = 0