首頁 > 線上測驗 > 100年研究所工程數學歷屆試題(工數1)電機所.電子所. 電信所.光電所.通訊所(二年期) > 100年國立高雄第一科技大學電子所工程數學(微分方程)
(1) Find a general form for the solution of y
y'+ P(x)y = Q(x)
(2) If P(x) = −2x , Q(x) = x , find a complete solution of y
Consider one parameter family of curves
x2 + 2xy − y2 + 4x − 4y = c
where c is the parameter. Find the equation for orthogonal trajectories of this family.
Find the general solution of the following equation:
xdy −[ y + xy3 (1+ ln x)]dx = 0
Find the general solution of
y(4) +11y(3) + 36y''+16y'− 64y = −3e−4x + 2cos(2x)
Find the general solution of
xy"+ (x + 2) y'+ y = 0
Solve the initial value problem by Laplace transform
Find the general solution of
y''− 3y'+ 2y = x2
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