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Beliebt Rechnen >

y^{'''}-11y^{''}+28y^'=90e^x

Lösung

y^{^{'''}} - 11 y^{^{''}} + 28 y^{^{'}} = 90 e^{x}

Lösung

y = c_{1} + c_{2} e^{4 x} + c_{3} e^{7 x} + 5 e^{x}

Schritte zur Lösung

y^{'''} (x) - 11 y^{''} (x) + 28 y^{'} (x) = 90 e^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{4 x} + c_{3} e^{7 x} + 5 e^{x}

y = c_{1} + c_{2} e^{4 x} + c_{3} e^{7 x} + 5 e^{x}

Graph

Beliebte Beispiele

y^{''}+y^'=arctan(x)

y^{^{''}} + y^{^{'}} = arctan (x)

y^{''}+2y^'-8y=8x^2-3

y^{^{''}} + 2 y^{^{'}} - 8 y = 8 x^{2} - 3

(d^2y)/(dx^2)+y=-16*cos(3x)

\frac{d ^{2} y}{d x ^{2}} + y = - 16 \cdot cos (3 x)

(D-2)^2y=20-3xe^2x

(D - 2)^{2} y = 20 - 3 x e^{2} x

y^{''}-y^'-15=0

y^{^{''}} - y^{^{'}} - 15 = 0