Verify that the function y(r) = 2, is a solution of the initial value problem dy + 2y = 3y, v(0) =; dr Find the largest interval of this solution. Is it a unique solution? Justify your answer using a theorem from section 1.2.

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A: Given  fx = 3-x2  and  gx = 4-3x.

Q: My last digit of student number is 4.

A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:Step 7:Step 8:Step 9:Step 10:

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Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: tions. Find the General solution of y" - 2y' + 5y = 4tet with Real valued func-

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Q: EXERCISE 3. Solve dr and find the particular solution when y(1) 1

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Q: Solve the equation 2 x " y " + 3 x y = (1 + x ) y = ху - which has a regular singula Point x = 0.…

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Q: 1. By applying an appropriate theorem, explain why x-100 x = 0 has a solution in the interval (1,4).

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Q: b) x²y + xy = 1 x>0 y(1) = 2

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Q: 3. ( Solve the IVP explicitly: f df da =re -2x f(0) = -1

A: To solve the IVP explicitly. fdfdx=xe-2x, f0=-1

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Q: The maximum number of linearly independent solutions of y" -2y"'+xy = 0 is 3. Select one: True False

A: y''''-2y'''+xy