Answer:
- The general solution is
- The error in the approximations to y(0.2), y(0.6), and y(1):
Step-by-step explanation:
<em>Point a:</em>
The Euler's method states that:
where 
We have that 
, 
, 
, 
- We need to find
for 
, when 
, using the Euler's method.
So you need to:
- We need to find
for , when , using the Euler's method.
So you need to:
The Euler's Method is detailed in the following table.
<em>Point b:</em>
To find the general solution of you need to:
Rewrite in the form of a first order separable ODE:
Integrate each side:
We know the initial condition y(0) = 3, we are going to use it to find the value of 
So we have:
Solving for <em>y</em> we get:
<em>Point c:</em>
To compute the error in the approximations y(0.2), y(0.6), and y(1) you need to:
Find the values y(0.2), y(0.6), and y(1) using
Next, where 
are from the table.
Answer:
3x-4y=15
7x+y=4
Solve7x+y=4 for y:
7x+y=4
7x+y+−7x=4+−7x (Add -7x to both sides)
y=−7x+4
Step: Substitute −7x+4 for y in 3x−4y=15:
3x−4y=15
3x−4(−7x+4)=15
31x−16=15 (Simplify both sides of the equation)
31x−16+16=15+16 (Add 16 to both sides)
31x=31
(Divide both sides by 31)
x=1
Step: Substitute 1 for x in y=−7x+4:
y=−7x+4
y=(−7)(1)+4
y=−3(Simplify both sides of the equation)
Answer: x=1 and y=−3
To solve this you must simply add $2.10 + $4.45 together to get a sum of $6.55. Next, you must subtract the $6.55 from $13.50 to get a difference/final solution of $6.95. So, in conclusion, Luke made a profit of $6.95 from mowing the lawn.
Answer:(5,3)
Step-by-step explanation:
solve for the first variable in one of the equations then substitute the result into the other equation
plz give brainliest
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