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Differential Equations
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Q81

Open question

Which one of the following differential equation has a solution given by function

y = 5 sin (3 x + \frac{π}{3})

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Q82

Open question

The Blasius equation,

\frac{d ^{3} f}{d n ^{3}} + \frac{f}{2} \frac{d ^{2} f}{d n ^{2}} = 0,

is a

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Q83

Open question

If the characteristic equation of the differential equation

\frac{d ^{2} y}{d x ^{2}} + 2 α \frac{dy}{dx} + y = 0

has two equal roots, then the values of

α

are

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Q84

Open question

The solution of the differential equation

\frac{dy}{dx} + \frac{y}{x} = x,

with the condition that y = 1 at x = 1, is

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Q85

Open question

Consider the following differential equation:

\frac{dy}{dt} = - 5 y;

initial condition: y = 2 at t = 0. The value of y at t = 3 is

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Q86

Open question

Which of the following is a solution to the differential equation

\frac{dx ( t )}{dt} + 3 x (t) = 0 ?

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Q87

Open question

The homogenous part of differential equation

\frac{d ^{2} y}{d x ^{2}} + P \frac{dy}{dx} + qy = r

(P, q, r are constants) has real distinct roots if

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Q88

Open question

For

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{dy}{dx} + 3 y = 3 e^{2 x},

the particular integral is

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Q89

Open question

The solution of

x \frac{dy}{dx} + y = x^{4}

with the condition

y (1) = \frac{6}{5}

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Q90

Open question

The solution of differential equation

\frac{d ^{2} y}{d x ^{2}} + \frac{6dy}{dx} + 9 y = 9 x + 6

with C₁ and C₂ as constant is

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Q91

Open question

Given that

x ¨ + 3 x = 0,

and x(0) = 1,

x ˙ (0) = 0,

what is x(1) ?

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Q92

Open question

The solution of differential equation

\frac{d ^{2} u}{d x ^{2}} - K \frac{du}{dx} = 0

where K is constant, subjected to boundary conditions u(0) = 0 and u(L) = U is

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Q93

Open question

A solution of the following differential equation is given by

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{dy}{dx} + 6 y = 0

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Differential Equationspractice.

Differential Equations
practice.