Answer:
y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation:
Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:
Solve for (dy(x))/(dx):
(dy(x))/(dx) = y(x)/x^3
Divide both sides by y(x):
((dy(x))/(dx))/y(x) = 1/x^3
Integrate both sides with respect to x:
integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx
Evaluate the integrals:
log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.
Solve for y(x):
y(x) = e^(-1/(2 x^2) + c_1)
Simplify the arbitrary constants:
Answer: y(x) = c_1 e^(-1/(2 x^2))
D : x
1
R : y
0
as it is a hyperbola with discontinuities at x= 1 and y=0
It would be equal to 52/65 = 4/5
Answer:
2.2x - 4.4
Step-by-step explanation:
0.3(4x-8) - 0.5(-2x+4)
1.2x-2.4-0.5 (-2x+4)
1.2x - 2.4 + x-2
2.2x - 4.4
Hope this helped :)
