Answer:
x = -2
Step-by-step explanation:
so how i would do it is
-4x + (-3) = -x +3 you would subtract 3 from the right side and add/ subtract it onto the left
then you have
-4x + (-6) = -x next you take the -4x and you would add it to the right side to get
-6 = 3x
lastly you divide -6 / 3 to get
x = -2
would love if i could have brainlist
Answer:
Normally infinity means something that never ends, something that has no end, it goes on forever.
Step-by-step explanation:
I don’t actually know if this is right, but in math infinitely means something that goes on forever.
Okie so I can see you tomorrow and I’ll be right there on time to meet
Answer:
what should we do ,...?
Step-by-step explanation:
please write your questions!
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
