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Beliebt Rechnen >

y^{'''}-3y^{''}+4y^'-12y=13e^{3x}

Lösung

y^{^{'''}} - 3 y^{^{''}} + 4 y^{^{'}} - 12 y = 13 e^{3 x}

Lösung

y = c_{1} e^{3 x} + c_{2} cos (2 x) + c_{3} sin (2 x) + e^{3 x} x

Schritte zur Lösung

y^{'''} (x) - 3 y^{''} (x) + 4 y^{'} (x) - 12 y = 13 e^{3 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} cos (2 x) + c_{3} sin (2 x) + e^{3 x} x

y = c_{1} e^{3 x} + c_{2} cos (2 x) + c_{3} sin (2 x) + e^{3 x} x

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+2(dy)/(dx)+2y=2(x+1)^2

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 2 y = 2 (x + 1)^{2}

y^{^{''}} + 3 y + 2 y = t

y^{''}-2y^'+5y=8,y(0)=2,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} + 5 y = 8, y (0) = 2, y^{^{'}} (0) = 2

y^{''}-2y^'+y=3e^{2x}-5e^{4x}

y^{^{''}} - 2 y^{^{'}} + y = 3 e^{2 x} - 5 e^{4 x}

y^{''}+y=2cos(3x)

y^{^{''}} + y = 2 cos (3 x)