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Beliebt Rechnen >

y^{''}+9y=5x,y(0)=1,y^'(0)=3

Lösung

y^{^{''}} + 9 y = 5 x, y (0) = 1, y^{^{'}} (0) = 3

Lösung

y = cos (3 x) + \frac{22}{27} sin (3 x) + \frac{5 x}{9}

Schritte zur Lösung

y^{''} (x) + 9 y = 5 x

Solve linear ODE:

y = cos (3 x) + \frac{22}{27} sin (3 x) + \frac{5 x}{9}

y = cos (3 x) + \frac{22}{27} sin (3 x) + \frac{5 x}{9}

Graph

Beliebte Beispiele

y^{''}-y^'-2y=cosh^2(t)

y^{^{''}} - y^{^{'}} - 2 y = cosh^{2} (t)

y^{''}-y=e^{2x},y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{2 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y=e^{2x} 1/x

y^{^{''}} - 4 y = e^{2 x} \frac{1}{x}

y^{''}-3y^'+y=2e^{3t},y(0)=0,y^'(0)=4

y^{^{''}} - 3 y^{^{'}} + y = 2 e^{3 t}, y (0) = 0, y^{^{'}} (0) = 4

y^{''}+3y^'+2y=6e^{2t}

y^{^{''}} + 3 y^{^{'}} + 2 y = 6 e^{2 t}