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Beliebt Rechnen >

3y^{''}-30y^'+72y=6sin(4x)

Lösung

3 y^{^{''}} - 30 y^{^{'}} + 72 y = 6 sin (4 x)

Lösung

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{104} sin (4 x) + \frac{5}{104} cos (4 x)

Schritte zur Lösung

3 y^{''} (x) - 30 y^{'} (x) + 72 y = 6 sin (4 x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{104} sin (4 x) + \frac{5}{104} cos (4 x)

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{104} sin (4 x) + \frac{5}{104} cos (4 x)

Graph

Beliebte Beispiele

integral of (3x^2+6)/((x^2-2x+2)^2)

\int \frac{3 x ^{2} + 6}{( x ^{2} - 2 x + 2 ) ^{2}} d x

derivative of sin(x^3+3xy)

\frac{d}{d x} (sin (x^{3}) + 3 x y)

tangent f(x)= x/(x+3),\at x=1

t an g e n t f (x) = \frac{x}{x + 3}, at x = 1

derivative of ln(2+x^2)

\frac{d}{d x} (ln (2 + x^{2}))

integral of cos(5x)

\int cos (5 x) d x