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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=x^2+1,y(0)=6,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 6, y (1) = 0

y^{''}+y^'+64y=cos(2x)

y^{^{''}} + y^{^{'}} + 64 y = cos (2 x)

d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10)

d (x) = 4 x^{7} + 10 x^{6} + 5 x - 2 (2 x^{7} + 5 x^{6} + 10)

2(d^2y)/(dx^2)+2(dy)/(dx)+3y=x^2+2x-1

2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = x^{2} + 2 x - 1

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

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