Engineering Mathematics
Differential Equations
Practice questions from Differential Equations.
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IncorrectConsider ordinary differential equations given by
with initial conditions and .
If , then at __________ (round off to the nearest integer).
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Sign in to UnlockWhich of the following differential equations is/are nonlinear?
,
,
,
,
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Sign in to UnlockConsider the initial value problem below. The value of at . (rounded off to 3 decimal places) is __________.
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Sign in to UnlockThe partial differential equation
is known as
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Sign in to UnlockConsider the differential equation . There exists a unique solution for this differential equation when t belongs to the interval
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Sign in to UnlockA function y(t), such that and , is a solution of the differential equation . Then y(2) is
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Sign in to UnlockThe solution of the differential equation, for , with initial conditions y(0) = 0 and , is (u(t) denotes the unit step function),
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Sign in to UnlockLet y(x) be the solution of the differential equation with initial conditions y(0) = 0 and . Then the value of y(1) is_______________.
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Sign in to UnlockA solution of the ordinary differential equation is such that y(0) = 2 and . The value of is ________.
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Sign in to UnlockA differential equation is applicable over – 10 < t < 10. If , then i(-5) is ___________.
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Sign in to UnlockThe solution for the differential equation
with initial conditions and , is
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Sign in to UnlockConsider the differential equation
. Which of the following is a solution to this differential equation for x > 0?
1/x
In x
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Sign in to UnlockWith initial condition x(1) = 0.5, the solution of the differential equation is
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Sign in to UnlockConsider the differential equation
with
and
The numerical value of is
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Sign in to UnlockWith K as a constant, the possible solution for the first order differential equation is
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Sign in to UnlockFor the differential equation with initial conditions and. The solution is
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Sign in to UnlockThe solution of the first order differential equation is:
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Sign in to UnlockFor the equation, the solution x(t) approaches the following values at t →∞
0
5
10
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