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Beliebt Rechnen >

4y^{''}+7y^'-y=15

Lösung

4 y^{^{''}} + 7 y^{^{'}} - y = 15

Lösung

y = c_{1} e^{\frac{( - 7 + 65 ) t}{8}} + c_{2} e^{\frac{( - 7 - 65 ) t}{8}} - 15

Schritte zur Lösung

4 y^{''} (t) + 7 y^{'} (t) - y = 15

Solve linear ODE:

y = c_{1} e^{\frac{( - 7 + 65 ) t}{8}} + c_{2} e^{\frac{( - 7 - 65 ) t}{8}} - 15

y = c_{1} e^{\frac{( - 7 + 65 ) t}{8}} + c_{2} e^{\frac{( - 7 - 65 ) t}{8}} - 15

Graph

Beliebte Beispiele

y^{''}+7y^'+12y=5e^{-6x}

y^{^{''}} + 7 y^{^{'}} + 12 y = 5 e^{- 6 x}

y^{''}-4y^'-45y=(7+2x)

y^{^{''}} - 4 y^{^{'}} - 45 y = (7 + 2 x)

y^{''}+81y=2sin(2x),y(0)=1,y^'(0)=0

y^{^{''}} + 81 y = 2 sin (2 x), y (0) = 1, y^{^{'}} (0) = 0

linear y^{''}-y=x,y(0)=0,y(1)=0

l in e a r y^{^{''}} - y = x, y (0) = 0, y (1) = 0

y^{''}+2y^'+2y=x+1

y^{^{''}} + 2 y^{^{'}} + 2 y = x + 1