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人気のある微分積分 >

y^{''}+49y=17sec^2(7t)

解

y^{^{''}} + 49 y = 17 sec^{2} (7 t)

解

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{- 17 + 17 ln ( tan ( 7 t ) + sec ( 7 t ) ) sin ( 7 t )}{49}

解答ステップ

y^{''} (t) + 49 y = 17 sec^{2} (7 t)

線形 ODE を解く:

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{- 17 + 17 ln ( tan ( 7 t ) + sec ( 7 t ) ) sin ( 7 t )}{49}

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{- 17 + 17 ln ( tan ( 7 t ) + sec ( 7 t ) ) sin ( 7 t )}{49}

グラフ

人気の例

(1/2)y^{''}+y^'+5y=sin(3t)

(\frac{1}{2}) y^{^{''}} + y^{^{'}} + 5 y = sin (3 t)

y^{''''}+25y^{''}=sin(5t)+te^{6t}+4

y^{^{''''}} + 25 y^{^{''}} = sin (5 t) + t e^{6 t} + 4

6y^{''}-10y^'-4y=x+2

6 y^{^{''}} - 10 y^{^{'}} - 4 y = x + 2

y^{''}-2y^'+y=xe^x+e^{-x}

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} + e^{- x}

y^{''}-y^'=xe[x],y(0)=2,y^'(0)=1

y^{^{''}} - y^{^{'}} = x e [x], y (0) = 2, y^{^{'}} (0) = 1