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인기 있는 >

9y^{''}-4y=sin(x)

해법

9 y^{^{''}} - 4 y = sin (x)

해법

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- \frac{2 x}{3}} - \frac{1}{13} sin (x)

솔루션 단계

9 y^{''} (x) - 4 y = sin (x)

선형 ODE 해결:

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- \frac{2 x}{3}} - \frac{1}{13} sin (x)

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- \frac{2 x}{3}} - \frac{1}{13} sin (x)

인기 있는 예

y^{''}-3y^'-4y=2sin(x)

y^{^{''}} - 3 y^{^{'}} - 4 y = 2 sin (x)

(d^2y)/(dx^2)+y=cos(x)

\frac{d ^{2} y}{d x ^{2}} + y = cos (x)

y^{''''}+2y^{''}+y=3+cos(2t)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (2 t)

y^{''}+4y=sin^3(x)

y^{^{''}} + 4 y = sin^{3} (x)

y^{''}+3y^'+2y=cos(t)-sin(2t)

y^{^{''}} + 3 y^{^{'}} + 2 y = cos (t) - sin (2 t)