PYQs Based Test - 12 : Higher order LDE

Topics Covered

Sample Questions from this Test

1. If roots of the auxiliary equation of $\frac{d^{2}y}{d{x}^2}+a\frac{dy}{dx}+by=0$ are real and equal, the general solution of the differential equation is
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2. The general solution of the differential equation $\frac{d^{4}y}{d{x}^4}-2\frac{d^{3}y}{d{x}^3}+2\frac{d^{2}y}{d{x}^2}-2\frac{dy}{dx}+y=0$ is
3. If y = f(x) is solution of $\frac{d^{2}y}{d{x}^2}=0$ with the boundary conditions y = 5 at x = 0, and $\frac{dy}{dx}=2$ at x = 10, f(15) = _____

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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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