Question 10. Given the linear boundary problem y" (t) + ty' (t) – 12y(t) = -4t2, 0 < t< 1 y(0) = 0.3, y(1) = 1.1 %3D Use the finite difference method to approximate y(t) on [0, 1] with the step size h = 0.25.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Question 10. Given the linear boundary problem
S y" (t) + ty' (t) – 12y(t) = -4t2, 0sts1
| y (0) = 0.3, y(1) = 1.1
Use the finite difference method to approximate y(t) on [0, 1] with the step size
h = 0.25.
Transcribed Image Text:Question 10. Given the linear boundary problem S y" (t) + ty' (t) – 12y(t) = -4t2, 0sts1 | y (0) = 0.3, y(1) = 1.1 Use the finite difference method to approximate y(t) on [0, 1] with the step size h = 0.25.
Expert Solution
Introduction

At first we will discretize the boundary value problem inti finite difference equation.

Then we will construct linear equations using boundary conditions.

Finally solving those we will obtain the solution.

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