Ordinary differential equations UE Past Papers Questions.


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(1921) Question Category: Mathematical Calculation

Solve the equation x^{5}y"+6x^{5}y`+9x^{5}y=e^{-3x} by variation of parameters.

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(1957) Question Category: Mathematical Calculation

Find a series solution of equation

y{}'+y=0, -infty <x<infty

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UNSOLVED

(1958) Question Category: Mathematical Calculation

Use the Laplace transform to solve the initial value problem

frac{dy}{dx}+3y=13sin, 2t; y(0)=6

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(1959) Question Category: Mathematical Calculation

Consider the system x{}`=egin{pmatrix} 1 &1 \ 4& 1 end{pmatrix}x

Find its general solution and plot several trajectories in the phase plane.

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UNSOLVED

(1960) Question Category: Mathematical Calculation

Solve by variation of parameters x^{2}y{}'-2xy` +2y=x^{3}lnx

Answer / Solution

UNSOLVED


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