Consider dy – y sin(3x) dx = 0, y(0) = 1, x € [0,1] a) solve this problem using RK4 with step sizeh = 0.2. b) If the exact solution for this problem is: e-cos(3x)/3 y : Cosh (5) – Sinh (5) - Sinh - then compare between the approximate solution and the exact solution.

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Q: Find the general solution:

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Q: 3. Construct a boxplot of the following data. 1.5 1.7 2.1 2.3 1.2 2.5 2.7 2.1 5.3 3.7 2.9 2.4 3.2…

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Q: Q7// find the general solution (sin-1x + 1 y)dx + sec-1xdy = 0 1 xVx² – |

A: The detailed solution is as follows below:

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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.