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Beliebt Rechnen >

9y^{''}-42y^'+49y=0

Lösung

9 y^{^{''}} - 42 y^{^{'}} + 49 y = 0

Lösung

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{\frac{7 t}{3}} t

Schritte zur Lösung

9 y^{''} (t) - 42 y^{'} (t) + 49 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{\frac{7 t}{3}} t

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{\frac{7 t}{3}} t

Graph

Beliebte Beispiele

x^{''}+2ax^'+bx=0

x^{^{''}} + 2 a x^{^{'}} + b x = 0

y^{''''}+4y^{'''}+4y^{''}-4y^'-5y=0

y^{^{''''}} + 4 y^{^{'''}} + 4 y^{^{''}} - 4 y^{^{'}} - 5 y = 0

x^{''}-6x^{''}+x=0

x^{^{''}} - 6 x^{^{''}} + x = 0

y^{'''}+9y^'=0,y(0)=5,y^'(0)=4,y^{''}(0)=3

y^{^{'''}} + 9 y^{^{'}} = 0, y (0) = 5, y^{^{'}} (0) = 4, y^{^{''}} (0) = 3

y^{^{''}} - \frac{2}{5} y = 0