Solve the following initial value problem: DE: y' = -ty? and Initial value: y(0) = 9. Then write the value of y(1/3) in the box.

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A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

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A: we have to find as per guideline we have to solve one question

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A: Using Newton raphson method.

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A: Please refer the attached image for complete solution.

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A: As per our guidelines we can only solve one question and rest of the question will be reposted.

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Q: V34

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A: Result used:

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.