3. Obtain the value of y at x=0-2 if y satisfies dy -2²y = xy( x²y=x;y dx (0) = 1 taking h=0.1.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Numerical Analysis
EXERCISE 11.4
Evaluate using Runge-Kutta methods. Unless otherwise mentioned, use fourth
order R.K. method..
3. Obtain the value of y at x = 0-2 if y satisfies
-x²³y = x; y (0) = 1 taking h = 0·1.
dy
=xy for x= 1-4, taking y (1)=2, h=0.2.
dx
4. Solve
Transcribed Image Text:EXERCISE 11.4 Evaluate using Runge-Kutta methods. Unless otherwise mentioned, use fourth order R.K. method.. 3. Obtain the value of y at x = 0-2 if y satisfies -x²³y = x; y (0) = 1 taking h = 0·1. dy =xy for x= 1-4, taking y (1)=2, h=0.2. dx 4. Solve
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