# Find the largest interval for wch the following initial value problems are guaranteed to have a unique solution for both a

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reasoning DO NOT SOLVE THE EQUATIONS. (a) S2³y” + 6x?y” + 4.cy’ – 4y = 0 ly(5) = 5, y/(5) = 8, y”(5) = 16 – %3D (b) St(t – 2)y(4) + e2ty” + 8t?y = 0 \y(1) = y'(1) = 1, y”(1) = 0 |

Find the largest interval for wch the following initial value problems are guaranteed to have a unique solution for both a and b . Explain your reasoning. DO NOT SOLVE THE EQUATIONS. Transcribed Image Text: 6. Find the largest interval for wch the following initial value problems are

guaranteed to have a unique solution. Explain your reasoning

DO NOT SOLVE THE EQUATIONS.

(a)

S2³y” + 6x?y” + 4.cy’ – 4y = 0

ly(5) = 5, y/(5) = 8, y”(5) = 16

–

%3D

(b)

St(t – 2)y(4) + e2ty” + 8t?y = 0

\y(1) = y'(1) = 1, y”(1) = 0

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