Homework Statement
Use the super position method to find the solution of:
y"+6y'+8y=6sin3t
2. The attempt at a solution
x^2+6x+8=6sin3t
found the x values x= -2,-4
yc=Asin3t+Bcos3t
y'=3Acos3t-3Bsin3t
y"=-9Asin3t-9Bcos3t
sin3t values (8A,-18B,-9A) A=18B-6
cos3t...
I came across another problem I can't solve
dy/dx=5y+1
dy/5y+1=dx
exp^{5y+1} = x
but i know this is incorrect can you point out where i am going wrong?
I tried that but i have the correct answer if y(0) = 4 the answer to the problem is
sqrt(16.33 - .33e^-3x)
if i rearange so dx and dy are in the numerator I get
dx/e^3x = dy/2y
Homework Statement
e^3x dy/dx = 1/2y
Homework Equations
The Attempt at a Solution
e^3x dy/dx = 1/2y
e^3x/dx = 1/2ydy
I can't determine the dirivitives for this equation can someone help me :)