Consider the IVP: x" + 4tx 0, x(0) = - 2, x'(0) = -3 %3D Using the Euler method with a time step of At = 0.5 approximate x(1.5) to the nearest thousandth (3 decimal places). In the answer box just put the approximation for x(1.5), nothing else. Notation.

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Q: (xe* + 6)dy + (e*y+ xe*y) dx = 0; y(0) = 8 %3D

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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.