Help me fast so that I will give good rating..... (a) Show that {n(t) = t, 2(t) = e'} is a fundamental set of solutionfor the ODEy"1-1y =0,on the set (1, o0).(b) Solve the initial value problem:y" +y 0, y(2) = 5, y/(2) = 2.%3!

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Answered: (a) Show that {y(t) = t, y2(t) = e} is…

(a) Show that {y(t) = t, y2(t) = e} is a fundamental set of solution for the ODE 1 = 0, on the set (1, o0). (b) Solve the initial value problem: 1 = 0, y(2) = 5, y/(2) = 2. -t°

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Help me fast so that I will give good rating.....

(a) Show that {n(t) = t, 2(t) = e'} is a fundamental set of solution
for the ODE
y"
1-
1
y =
0,
on the set (1, o0).
(b) Solve the initial value problem:
y" +
y 0, y(2) = 5, y/(2) = 2.
%3!

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