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Differential Equations Quiz
Class XII
Mathematics
Differential Equations
11 questions
MEDIUM
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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(x) + Q(x)y
2. Which of the following is a method to solve a first-order linear differential equation?
Separation of variables · Integration by parts · Substitution method · Undetermined coefficients
3. What is the integrating factor for the equation dy/dx + 2y = 3?
e^(2x) · e^(-2x) · 3e^(2x) · 3e^(-2x)
4. The solution of the differential equation dy/dx = 4y is:
y = Ce^(4x) · y = Ce^(-4x) · y = 4Ce^x · y = Ce^(x/4)
5. Which of the following represents a homogeneous differential equation?
dy/dx = y/x · dy/dx = y + x · dy/dx = x^2 + y^2 · dy/dx = x/y
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