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Beliebt Rechnen >

y^{''}-7y^'+10y=30t+9,y(0)=7,y^'(0)=26

Lösung

y^{^{''}} - 7 y^{^{'}} + 10 y = 30 t + 9, y (0) = 7, y^{^{'}} (0) = 26

Lösung

y = 5 e^{5 t} - e^{2 t} + 3 t + 3

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) + 10 y = 30 t + 9

Solve linear ODE:

y = 5 e^{5 t} - e^{2 t} + 3 t + 3

y = 5 e^{5 t} - e^{2 t} + 3 t + 3

Graph

Beliebte Beispiele

-4y^{''}+y^'+9y=15

- 4 y^{^{''}} + y^{^{'}} + 9 y = 15

y^{''}+50y^'+100=0

y^{^{''}} + 50 y^{^{'}} + 100 = 0

y^{''}-3y^'=-18x,y(0)=0,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} = - 18 x, y (0) = 0, y^{^{'}} (0) = 5

y^{''}-8y^'+17y=x^2e^{4x}

y^{^{''}} - 8 y^{^{'}} + 17 y = x^{2} e^{4 x}

(d^2y)/(dx^2)-2(dy)/(dx)+y=(e^x)/(x^3)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = \frac{e ^{x}}{x ^{3}}