Ordinary differential equations UE Past Papers Questions.


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(1990) Question Category: Mathematical Calculation

Transform the second order differential equation into systems of first order differential equations x`+8x+y'=12

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(1991) Question Category: Mathematical Calculation

  1. Reduce the system of first order differential equations into a second order differential equation x`=x+2y,,,,y`=2x-y
  2. By using the elimination method, solve the system of first order differential equations in (a) above.

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(1992) Question Category: Mathematical Calculation

Solve the initial value problem y`=10-0.2y,,,,y(0)=50

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(1993) Question Category: Mathematical Calculation

Classify the following differential equation as to order, degree and linearity y```=y`+(y')^{2}

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(1994) Question Category: Mathematical Calculation

Find the solution of the IVP (12-4x^{2}y)y`=4xy^{2}+8,,,y(-1)=8

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