Ordinary differential equations UE Past Papers Questions.


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(1107) Question Category: Mathematical Calculation

If the population of a country  triples in 50 years, in how many years will doubles if the rate of increase of the said population is proportional to the number of inhabitants?.

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(1108) Question Category: Mathematical Calculation

Express the following physical statement in differential equation form: "Radium decomposes at a rate proportional to the amount present".

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(1109) Question Category: Mathematical Calculation

Find the second order differential equation associated with the primitive y=4Ae^{8x}+Be^{4x}

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(1110) Question Category: Mathematical Calculation

Write down the guess for a particular solution to the given differential equation. Do not find the coefficients. y^{'}+9y=7x+e^{-7x}-1

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(1111) Question Category: Mathematical Calculation

Use the method of variation of parameter to find the general solution to y^{'}+9y=9

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