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

Respuesta :

nikvist
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]

Answer Link

Otras preguntas

Would z be = < > to y
One major goal of the Progressive movement was to?
Mitchell has a bucket in that holds 5 quarts of liquid. How many cups can the bucket holds
What experience did Roosevelt have that might help his position as President? Roosevelt helped the people of New Jersey by creating new businesses. After a term
if 2 pounds of strawberries cost $4.50 how much would 3 pounds cost?​
what is work in physics terms​
What is a tornadogive a detailed explanation ​
A 100-point test consists of 2-point questions and 5-point questions . There are a total of 44 questions ont the test . How many questions of each type are ther
Convert 31.875 to a fraction
one of the 50 states is chosen at random What is the probability of not choosing a state with the letter N?