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Beliebt Rechnen >

y^{''}+49y=0,y(0)=4,y^{''}(0)=-6

Lösung

y^{^{''}} + 49 y = 0, y (0) = 4, y^{^{''}} (0) = - 6

Lösung

y = 4 cos (7 t) + c_{2} sin (7 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 4 cos (7 t) + c_{2} sin (7 t)

y = 4 cos (7 t) + c_{2} sin (7 t)

Graph

Beliebte Beispiele

integral from 0 to 1 of 4(1+sqrt(x))^4

\int_{0}^{1} 4 (1 + x)^{4} d x

derivative f(x)=2x+2

d er i v a t i v e f (x) = 2 x + 2

integral of 5xsqrt(x^2+1)

\int 5 x x^{2} + 1 d x

y^{''}-2y^'-11y=0

y^{^{''}} - 2 y^{^{'}} - 11 y = 0

derivative s(t)= 5/(t^2+6t-8)

d er i v a t i v e s (t) = \frac{5}{t ^{2} + 6 t - 8}