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Q#1
GATE CH 2021
MCQ
+1 mark
-0.33 marks
An ordinary differential equation (ODE), , with an initial condition
𝒚(𝟎) = 𝟏, has the analytical solution y = e2x .
Using Runge-Kutta second order method, numerically integrate the ODE to calculate 𝒚 at 𝒙 = 𝟎. 𝟓 using a step size of 𝒉 = 𝟎. 𝟓.
If the relative percentage error is defined as,
then the value of 𝜺 at 𝒙 = 𝟎. 𝟓 is .
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| Topic | Questions | Attempted | Correct | |
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| Heat Transfer | 26 | 0 | 0 | |
| Chemical Technology | 17 | 0 | 0 | |
| Mechanical Operations | 12 | 0 | 0 | |
| Mass Transfer | 42 | 0 | 0 | |
| Instrumentation and Process Control | 26 | 0 | 0 | |
| Fluid Mechanics | 24 | 0 | 0 | |
| Engineering Mathematics | 41 | 0 | 0 | |
| General Aptitude | 60 | 0 | 0 | |
| Chemical Reaction Engineering | 26 | 0 | 0 | |
| Process Calculation | 9 | 0 | 0 | |
| Plant Design Economics | 10 | 0 | 0 | |
| Thermodynamics | 24 | 0 | 0 |
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