Please answer the following question attached below; Information; Linear, First order ODE x dx = 2x - y, Please find the following from information below; 1) use integrating factor technique to find general solution and find unique solution given initial condition of y(4) = 2 dy dx 2) If domain restriction x>0 is removed and x an element of all reals is considered and separated into x<0, x>0 and x=0, Find if unique solution exists if initial condition, yo = y(xo) is specified for all x regions, give example to support claim at x = 0 3) Find explicit solution to separable first order ODE (general solution) below. x > 0. 1+ 4y² y sec(x) 3 y > 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Aaaba
Please answer the following question attached below;
Information; Linear, First order ODE
Xx
dy
dx
= 2x - Y,
Please find the following from information below;
1) use integrating factor technique to find general solution and find unique solution given initial
condition of y(4) = 2
dy
dx
x > 0.
2) If domain restriction x>0 is removed and x an element of all reals is considered and separated into
x<0, x>0 and x=0, Find if unique solution exists if initial condition, y₁ = y(x。) is specified for all x
regions, give example to support claim at x = 0
3) Find explicit solution to separable first order ODE (general solution) below.
1+ 4y²
y sec(x)
y > 0.
Transcribed Image Text:Aaaba Please answer the following question attached below; Information; Linear, First order ODE Xx dy dx = 2x - Y, Please find the following from information below; 1) use integrating factor technique to find general solution and find unique solution given initial condition of y(4) = 2 dy dx x > 0. 2) If domain restriction x>0 is removed and x an element of all reals is considered and separated into x<0, x>0 and x=0, Find if unique solution exists if initial condition, y₁ = y(x。) is specified for all x regions, give example to support claim at x = 0 3) Find explicit solution to separable first order ODE (general solution) below. 1+ 4y² y sec(x) y > 0.
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