Ordinary differential equations UE Past Papers Questions.


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(1906) Question Category: Mathematical Calculation

State the order, degree and linearity of the ordinary differential equation given here under. Verify that the given solution satisfies the equation x`=x^2 +1, x=tan(t+k), kin mathbb{R}.

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(1907) Question Category: Mathematical Calculation

Given the ordinary differential equation x`=0.5x, with the general solution x=ke^{0.5t} and initial condition x(0)=0. Find the value of k and sketch the graph of x over t.

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UNSOLVED

(1908) Question Category: Mathematical Calculation

Use the method of variation of parameters to find the solution of the equation

y"-5y`+6y=2e^t

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UNSOLVED

(1909) Question Category: Mathematical Calculation

Solve the initial value problem

frac{d^{2}y}{dx^{2}}+lambda ^{2}x=A_0sinalpha t,

x(0)=x`(0)=0 where A_0 is a constant and alpha eq lambda.

Answer / Solution

UNSOLVED

(1910) Question Category: Mathematical Calculation

Determine and classify the singular points of the following differential equation

(x^{4}-2x^{3}+x^{2})y"+2(x-1)y`+x^{2}y=0

Answer / Solution

UNSOLVED

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