GATE CE 2025 Set 1 — Question 49
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Engineering Mathematics → Numerical Integration & ODEs → Euler Method
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Question
Consider the differential equation given below. Using the Euler method with the step size () of 0.5, the value of at is equal to ____________ (rounded off to 1 decimal place).
Correct answer
2.4 to 2.8
Solution
Given the differential equation:Initial conditions:
Step size: Step 1: Calculate at
Using Euler's formula:
Step 2: Calculate at
Rounding to 1 decimal place, the value of at is 2.6.
Step size: Step 1: Calculate at
Using Euler's formula:
Step 2: Calculate at
Rounding to 1 decimal place, the value of at is 2.6.
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