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# GATE 2022 : Engineering Mathematics - Differential Equations - 1

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Question 1

Having initial value y(0) = 2, the solution of is

Question 2

Given an initial value problem:

The value of will be _____________.

Question 3

The solution of differential equation is

Question 4

Consider a differential equation as: , provided boundary condition as at y(0) =0, Then the value of y at (x = ϖ) is _________.

Question 5

Consider the initial value problem below. The value of y at x = ln 2, (rounded off to 3 decimal places) is ______.

Question 6

Consider the set of simultaneous differential equations:

the solutions of which are x(t) and y(t) respectively. The initial conditions are x(0) = 1 and y(0) = 1. Find the value of is

the solutions of which are x(t) and y(t) respectively. The initial conditions are x(0) = 1 and y(0) = 1. Find the value of is

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Jun 26ESE & GATE EE

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