Solve for G.S./P.S. for the following differential equations using the

Katherine Walls

Katherine Walls

Answered question

2022-01-21

Solve for G.S./P.S. for the following differential equations using the method of solution for Bernoulli and Ricatti differential equations.
9xy=(y1)(y+2);  yp=2

Answer & Explanation

Ethan Sanders

Ethan Sanders

Beginner2022-01-21Added 35 answers

9xy=(y1)(y+2);  yp=2
9xdydx=(y1)(y+2)
dy(y1)(y+2)=dx9x
dy(y1)(y+2)=dx9x
Let y+2=z, dy=dz
  dzz+!z}=dx9x
  1z+1dz1zdz=19ln(x)
  ln(z+1)ln(z)=19ln(x)
  ln(y+3)ln(y+2)=19ln(x)
  lny+3y+2=ln(x)19  y+3y+2=x19

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