What will be the output of the following MATLAB code?

medium📝 Predict Output Q4 of 15

MATLAB - Numerical Methods

f = @(t,y) 2*t;
[t,y] = ode45(f, [0 1], 0);
disp(y(end));

A0.5

DError due to wrong function

Step-by-Step Solution

Solution:

Step 1: Understand the ODE and initial condition
The ODE is dy/dt = 2*t with initial value y(0) = 0. The exact solution is y = t^2.
Step 2: Evaluate solution at t=1
At t=1, y = 1^2 = 1. So y(end) will be approximately 1.
Final Answer:
1 -> Option C
Quick Check:
Numerical solution at t=1 = 1 [OK]

Quick Trick: Integrate dy/dt=2t from 0 to 1 gives y=1 [OK]

Common Mistakes:

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