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Beliebt Rechnen >

y^{''}-12y^'+35y=0,y(0)=e^{kx}

Lösung

y^{^{''}} - 12 y^{^{'}} + 35 y = 0, y (0) = e^{k x}

Lösung

y = c_{1} e^{7 x} + c_{2} e^{5 x}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 35 y = 0

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} e^{5 x}

y = c_{1} e^{7 x} + c_{2} e^{5 x}

Graph

Beliebte Beispiele

(d^3y)/(dx^3)+5y=0

\frac{d ^{3} y}{d x ^{3}} + 5 y = 0

y^{''}+5y^'-14y=0,y^'(0)=56

y^{^{''}} + 5 y^{^{'}} - 14 y = 0, y^{^{'}} (0) = 56

y^{''}-2y^'+5y=0,y^'(0)=2,y(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y^{^{'}} (0) = 2, y (0) = 1

y^{''}+64y=0,y(0)=0,y^'(0)= 64/5

y^{^{''}} + 64 y = 0, y (0) = 0, y^{^{'}} (0) = \frac{64}{5}

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

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