Ordinary differential equations UE Past Papers Questions.


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(1961) Question Category: Mathematical Calculation

Define the terms order and degree of a differential equation. State the order and degree of the following differential equation

3(y{}')^{3}+4(y`)^{10}+3y^{4}=0

Answer / Solution

UNSOLVED

(1962) Question Category: Mathematical Calculation

Solve the following differential equation

(ycosx+2xe^{y})+(sinx+x^{2}e^{y}-1)y`=0

Answer / Solution

UNSOLVED

(1977) Question Category: Mathematical Calculation

Show that

y_{1}(t)=t^{frac{1}{2}}  and y_{2}(t)=t^{-1} form a fundamental set of solutions of 2t^{2}y{}'+3ty{}`-y=0, t>0

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UNSOLVED

(1978) Question Category: Mathematical Calculation

Solve y{}'-3y`-18y=xe^{4x}

Answer / Solution

UNSOLVED

(1979) Question Category: Mathematical Calculation

Use the method of variation of parameters to solve the differential equation y{}'+y=sec,x, 0<x<frac{pi}{2}

Answer / Solution

UNSOLVED

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