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Beliebt Rechnen >

(d^2y)/(dx^2)-13(dy)/(dx)+40y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 40 y = 0

Lösung

y = c_{1} e^{8 x} + c_{2} e^{5 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 40 y = 0

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} e^{5 x}

y = c_{1} e^{8 x} + c_{2} e^{5 x}

Graph

Beliebte Beispiele

(d^{2} - 2 d + 2) y = 0

y^{''}+y^'+5y=0,y(0)=1.2,y^'(0)=0

y^{^{''}} + y^{^{'}} + 5 y = 0, y (0) = 1.2, y^{^{'}} (0) = 0

3(d^2y)/(dx^2)+4(dy)/(dx)+y=0

3 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + y = 0

y^{''}-3y^'+2y=0,y(ln(2))=2,y(0)=0

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (ln (2)) = 2, y (0) = 0

D^2(D^2-4D+5)^3y=0

D^{2} (D^{2} - 4 D + 5)^{3} y = 0