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Differential Equation MCQ Level - 2 - Question 1

(D^{2} - 1)y = x sin x + (1 + x^{2})e^{x}, will be satisfied by which of the following functions?

Detailed Solution for Differential Equation MCQ Level - 2 - Question 1

Differential Equation MCQ Level - 2 - Question 2

If [(x + 1)^{2} f(x) – g(x)] is the particular integral of the differential equation,

Detailed Solution for Differential Equation MCQ Level - 2 - Question 2

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Differential Equation MCQ Level - 2 - Question 3

The general solution of the differential equation will be :

Detailed Solution for Differential Equation MCQ Level - 2 - Question 3

Differential Equation MCQ Level - 2 - Question 4

Given that the differential equation (axy^{2} + by)dx + (bx^{2}y + ax)dy = 0, (a ≠ b) is not exact. If x^{m}y^{n} is an integrating factor of the given equation, then

Detailed Solution for Differential Equation MCQ Level - 2 - Question 4

Differential Equation MCQ Level - 2 - Question 5

The slope of the tangent at the point **( x, y)** to a curve passing through is given by, then the equation of the curve is :

Detailed Solution for Differential Equation MCQ Level - 2 - Question 5

Differential Equation MCQ Level - 2 - Question 6

The general solution of the equation, (D^{2} - 6D + 8)y = (e^{2x} - 1)^{2} + sin3x will be :

Detailed Solution for Differential Equation MCQ Level - 2 - Question 6

Differential Equation MCQ Level - 2 - Question 7

If (x, y) is the solution to the system of equations,

then *x* is equal to :

Detailed Solution for Differential Equation MCQ Level - 2 - Question 7

Differential Equation MCQ Level - 2 - Question 8

The curve orthogonal to the curve x^{2} + 2xy – y^{2} = k would be :

Detailed Solution for Differential Equation MCQ Level - 2 - Question 8

Differential Equation MCQ Level - 2 - Question 9

The particular integral of the differential equation, = x^{2} log x + 3x is

Detailed Solution for Differential Equation MCQ Level - 2 - Question 9

Differential Equation MCQ Level - 2 - Question 10

is the solution of the differential equation, D^{2}y + 1 (1 - cot x) Dy - y cot x = sin^{2} x then

Detailed Solution for Differential Equation MCQ Level - 2 - Question 10

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