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Beliebt Rechnen >

y^{''}+4y=6e^{2x},y(0)=1,y^'(0)=3

Lösung

y^{^{''}} + 4 y = 6 e^{2 x}, y (0) = 1, y^{^{'}} (0) = 3

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y = 6 e^{2 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-y=1,y(0)=0,y^'(0)=0.5

4 y^{^{''}} - y = 1, y (0) = 0, y^{^{'}} (0) = 0.5

y^{^{''}} + 4 y = 2 x

y^{'''}-6y^{''}+13y^'-10y=e^{2x}

y^{^{'''}} - 6 y^{^{''}} + 13 y^{^{'}} - 10 y = e^{2 x}

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

\frac{d ^{2} y}{d x ^{2}} = x + y

y^{''}-10y^'+25y=x+1+e^{5x}

y^{^{''}} - 10 y^{^{'}} + 25 y = x + 1 + e^{5 x}