Ordinary differential equations UE Past Papers Questions.


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(1985) Question Category: Mathematical Calculation

Given that y_{1}(t)=t^{-1} is a solution of 2t^{2}y{}' +3y`-y=0,,,,t>0

find a second linearly independent solution.

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UNSOLVED

(1986) Question Category: Mathematical Calculation

Solve the differential equation

y{}'-3y`-4y=2,sin,x

Answer / Solution

UNSOLVED

(1987) Question Category: Mathematical Calculation

Determine if the power series method yields a solution around x=0 to the differential equation y{}'-2xy`-2y=0

Is x=0 an ordinary or singular point of the equation ? If x=0 is ordinary, find the power series solution of the equation around it.

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UNSOLVED

(1988) Question Category: Mathematical Calculation

Solve the Cauchy-Euler differential equation x^{2}y{}'+xy`-y=0 using Frobenius method.

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UNSOLVED

(1989) Question Category: Mathematical Calculation

Given the equation x(x-1)y{}'+(3x-1)y`+y=0. Determine the singular points of the equation.

Answer / Solution

UNSOLVED

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