y' - 4x2y = 0, y(0) = 5. Note: y = y(x) and v' dy %3D dx In the power series solution of the above IVP find the coefficient of the x°term to the nearest thousandth (3 decimal places). Do not calculate the entire power series. In the answer box only put the coefficient part of the X term. Do not include the X in the answer box.

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Q: (a) y" + 9y = 6e3¤ (b) y" – 9y = 6e3. %3D

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Q: b. Linear Equation 3. (–3y + x)dx = dy dy, 4. 2y = (1 – (x² – 1)

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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.