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人気のある微分積分 >

(d^2)/(dt^2)(θ(t))+4θ(t)=cos(c^2)(2t)

解

\frac{d ^{2} θ}{d t ^{2}} + 4 θ = cos (c^{2}) (2 t)

解

θ = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t cos ( c ^{2} )}{2}

解答ステップ

\frac{d ^{2} θ}{d t ^{2}} + 4 θ = cos (c^{2}) (2 t)

線形 ODE を解く:

θ = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t cos ( c ^{2} )}{2}

θ = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t cos ( c ^{2} )}{2}

人気の例

(d^2x)/(dt^2)+100x=36cos(8t)

\frac{d ^{2} x}{d t ^{2}} + 100 x = 36 cos (8 t)

y^{''}-6y^'+9y=t^{-7}e^{3t}

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{- 7} e^{3 t}

x^{''}+2x^'-4x=6e^{3t}-4t+3

x^{^{''}} + 2 x^{^{'}} - 4 x = 6 e^{3 t} - 4 t + 3

y^{''}-25y=3x^2-2+e^x,y(0)=1,y^'(0)=0

y^{^{''}} - 25 y = 3 x^{2} - 2 + e^{x}, y (0) = 1, y^{^{'}} (0) = 0

x^2y^{''}-8x^2y^'+16x^2y=3e^{4x}

x^{2} y^{^{''}} - 8 x^{2} y^{^{'}} + 16 x^{2} y = 3 e^{4 x}