PYQs Based Test - 28 : Numerical Methods (Differential Equations)

Topics Covered

Sample Questions from this Test

1. Error order of $3^{\mathrm{rd}}$ order Runge-Kutta method is
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2. With a one unit change in 'b' what is the change in 'y' in the solution of the system of equations x + y = 2; 1.01x + 0.99y = b?
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3. An explicit forward Euler method is used to numerically integrate the differential equation
   
   $\frac{dy}{dt}=y$
   
   using a time step of 0.1. With the initial condition y (0) = 1, the value of y (1) computed by this method is ___________ (correct to two decimal places).
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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.
• This is a free practice test. No login required to attempt.