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Class 12 Maths Practice Test - Linear Second Order Differential Equations
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Related Test: Class 12 Maths Practice Test - Linear First Order Differential Equations

Class 12 Maths Practice Test - Linear Second Order Differential Equations
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10 Questions

1. Which of the following is the valid differential equation x = a cos(αt + β)?
2. What is the solution of the given equation (D + 1)2y = 0 given y = 2 loge 2 when x = loge 2 and y = (4/3) loge3 when x = loge3?
3. What will be the general solution of the differential equation d2y/dx2 = e2x(12 cos3x – 5 sin3x)? (here, A and B are integration constant)
4. What will be the required solution of d2y/dx2 – 3dy/dx + 4y = 0?
5. Which one of the following is correct if we differentiate the equation xy = aex + be-x two times?
6. What is the differential equation of all parabolas whose directrices are parallel to the x-axis?
7. If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?
8. If y = t(x) be a differentiable function ᵾ x € R, then which of the following is always true?
9. What is thedifferential equation whose solution represents the family y = ae3x + bex?
10. What will be the value of C if C the constant of the coefficient of the solution of the given equation (D + 1)2y = 0 given y = 2 loge 2 when x = loge 2 and y = (4/3) loge3 when x = loge3?

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