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Beliebt Rechnen >

y^{''}-11y^'+28y=108e^t

Lösung

y^{^{''}} - 11 y^{^{'}} + 28 y = 108 e^{t}

Lösung

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 6 e^{t}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) + 28 y = 108 e^{t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 6 e^{t}

y = c_{1} e^{7 t} + c_{2} e^{4 t} + 6 e^{t}

Graph

Beliebte Beispiele

y^{''}-2y^'+y=x-2-2cos(8)

y^{^{''}} - 2 y^{^{'}} + y = x - 2 - 2 cos (8)

y^{''}+4y^'=4x+1

y^{^{''}} + 4 y^{^{'}} = 4 x + 1

y^{''}+y^'-12=0

y^{^{''}} + y^{^{'}} - 12 = 0

y^{'''}+y^{''}+y^'+y=2(sin(x)+cos(x))

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = 2 (sin (x) + cos (x))

y^{''}+9y=cos(3t)+sin(3t)

y^{^{''}} + 9 y = cos (3 t) + sin (3 t)