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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
isQuestion 2
Given an initial value problem:
The value of 
will be _____________.
Question 3
The solution of differential equation 
is
isQuestion 4
Consider a differential equation as: 
, provided boundary condition as at y(0) =0, Then the value of y at (x = ϖ) is _________.
, 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
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Jun 26ESE & GATE EE
