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Differential Equations Quiz - Class XII
Class XII
Mathematics
Differential Equations
12 questions
HARD
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Preview questions
1. What is the general form of a first-order linear differential equation?
dy/dx + P(x)y = Q(x) · dy/dx = P(x)y + Q(x) · dy/dx = Q(x) - P(x)y · dy/dx = P(y)x + Q(x)
2. Which of the following is a solution to the differential equation dy/dx = 3y?
y = Ce^(3x) · y = Ce^(-3x) · y = 3x + C · y = Cx^3
3. What is the integrating factor for the equation dy/dx + (2/x)y = x^2?
e^(2ln|x|) · x^2 · e^(2/x) · x^(-2)
4. What type of differential equation is represented by d^2y/dx^2 + 4y = 0?
First-order · Second-order linear · Homogeneous · Non-homogeneous
5. The general solution of the differential equation d^2y/dx^2 + 4y = 0 is:
y = C1 cos(2x) + C2 sin(2x) · y = C1 e^(2x) + C2 e^(-2x) · y = C1 x^2 + C2 x · y = C1 + C2x
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