Consider the following initial-value problem. y′=-4x-9,  y(0)=3 Use Euler's method with n=4n=4 steps of size h=0.25 to approximatey(1). (In other words, find y4.) y(1)≈

Solve the following initial value problem (y)dx+(y4-4x)dy=0 with x(2)=5/2.  For your final answer, isolate x(y).

Given y₁ (x) 1 Order to find a second solution. e³x 3x is a solution to the given equation, use the Method of Reduction of -= = xy'' — (6x − 2)y' + (9x − 6)y = 0, x > 0 - Give your answer in the simplest form (i.e., no coefficients) Y₂(x) =

I want handwritten solution without using any programme..

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solve the following IVP. y" + 16y = 0 with y(0) = 3 and y'(0) = −3.

4.25. Solve y' = (y − 1)(y + 1) for y(0) = 3.