jeffreyhayes0815 jeffreyhayes0815

13-02-2024
Mathematics

contestada

the non separable differential equation dy/dx=8x-2y has a linear particular solution of the form y=mx+b. find m+b

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nikvist nikvist

13-02-2024

Answer:

Step-by-step explanation:

[tex]y'=8x-2y,\quad y_p=mx+b,\quad y'_p=m\\m=8x-2(mx+b)=(8-2m)x-2b\\(2m-8)x+m+2b=0\\2m-8=0,\quad m+2b=0\\m=4,\quad b=-m/2=-2\\m+b=2[/tex]

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