
Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
0.6561
Step-by-step explanation:
i think i could be wrong if am right brainliest
Answer:
x = 19
Step-by-step explanation:
Solve for x:
3 x + 43 = 100
Subtract 43 from both sides:
3 x + (43 - 43) = 100 - 43
43 - 43 = 0:
3 x = 100 - 43
100 - 43 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
Answer:
Step-by-step explanation:
Hello,
First of all, we know that the solution of the following equation
are

<em>I would suggest that you try to apply this formula first and check the solution only after you try.</em>
Let's apply it in this case, we have:


Hope this helps.
Do not hesitate if you need further explanation.
Thank you