Check if the equation is exact, which happens for ODEs of the form
if .
We have
so the ODE is not quite exact, but we can find an integrating factor so that
<em>is</em> exact, which would require
Notice that
is independent of <em>x</em>, and dividing this by gives an expression independent of <em>y</em>. If we assume is a function of <em>x</em> alone, then , and the partial differential equation above gives
which is separable and we can solve for easily.
So, multiply the original ODE by <em>x</em> on both sides:
Now
so the modified ODE is exact.
Now we look for a solution of the form , with differential
The solution <em>F</em> satisfies
Integrating both sides of the first equation with respect to <em>x</em> gives
Differentiating both sides with respect to <em>y</em> gives
So the solution to the ODE is
We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.</span>
Answer:
look, equation ii and vi are contradicting each other....
Step-by-step explanation:
after eliminating those equation you can find the value of x and y.
y=-6
x=3
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the number of odd numbers on a die
STEP 2: Find the probability of getting an odd number
STEP 3: Calculate the odd in favor
Hence, the odds in favorof rolling amn odd number on a fair die is 1
Answer
b 800 cm cubed
Step-by-step explanation:
because i know