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Beliebt Rechnen >

y^{'''}-6y^{''}+25y^'=68e^{2x}

Lösung

y^{^{'''}} - 6 y^{^{''}} + 25 y^{^{'}} = 68 e^{2 x}

Lösung

y = c_{1} + e^{3 x} (c_{2} cos (4 x) + c_{3} sin (4 x)) + 2 e^{2 x}

Schritte zur Lösung

y^{'''} (x) - 6 y^{''} (x) + 25 y^{'} (x) = 68 e^{2 x}

Solve linear ODE:

y = c_{1} + e^{3 x} (c_{2} cos (4 x) + c_{3} sin (4 x)) + 2 e^{2 x}

y = c_{1} + e^{3 x} (c_{2} cos (4 x) + c_{3} sin (4 x)) + 2 e^{2 x}

Graph

Beliebte Beispiele

(d-3)^3y=e^{3x}

(d - 3)^{3} y = e^{3 x}

y^{''}-4y=x+e^x

y^{^{''}} - 4 y = x + e^{x}

y^{''}+6y^'+8y=x^2

y^{^{''}} + 6 y^{^{'}} + 8 y = x^{2}

(d^2y)/(dx^2)+3(dy)/(dx)+2y=e^{4x}

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = e^{4 x}

y^{''}-4y^'-3y=cos(2x)

y^{^{''}} - 4 y^{^{'}} - 3 y = cos (2 x)