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))
Answer:
1/6
Step-by-step explanation:
6 sides. 1 face with number 1. 1/6
Answer:
1. 72 
3. 79 
Step-by-step explanation:
The mean is found by dividing the sum of the inputs by the total number of inputs.
Answer:
es 51.75
Step-by-step explanation:
por que al sumar 45 + 15 porciento da 51.75
The surface area of the cube is 1536 square feet because (16×16)×6=1536 square feet. Hope it help!