Saturday

August 2, 2014

August 2, 2014

Posted by **lisa** on Saturday, March 9, 2013 at 2:06pm.

Your answer should be correct to two decimal places.

- calculus -
**Damon**, Saturday, March 9, 2013 at 2:36pmf(2.2) = f(2) + f'(2) (.2)

f(2.2) = 4 + (2*2-7) (.2)

f(2.2) = 4 + (4-7)(.2)

f(2.2) = 4 + (-3)(.2)

f(2.2) = 3.4

now do f(2.4) the same way

then f(2.6) etc up to f(3)

- calculus -
**Damon**, Saturday, March 9, 2013 at 2:41pm<img src="http://www.mathscoop.com/image-gallery/slope-fields/2*x-75-55-5ffffff3300661-1120400ff0000240_23190.png " alt="Slope Field by MathScoop.com" />

- calculus -
**Damon**, Saturday, March 9, 2013 at 2:42pmfrom

http://www.mathscoop.com/calculus/differential-equations/euler-method-calculator.php

- calculus -
**Damon**, Saturday, March 9, 2013 at 2:50pmnow exact

dy/dx = 2 x - 7

integrate

y = x^2 - 7 x + c

when x = 2, y = 4

4 = 4 -14 + c

c = 14

so

y = x^2 - 7 x + 14

so if x = 3

y = 9 -21 + 14

y = 2 would be exact

- calculus -
**Nate**, Monday, March 11, 2013 at 1:30amIf that is the case, Damon, wouldn't the answer just be 1?

**Related Questions**

Calculus - Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) ...

Calc: euler's method - Use Euler's method with step size 0.2 to estimate y(1), ...

calculus - Suppose f satisfies the differential equation dy/dx=y+1 and f(0)=1. ...

calculus - Use Euler's method with step size .2 to estimate y(.4), where y(x) is...

Really need help in Calculus Problem?! - Use Euler's method with step size .2 to...

calculus - Use Euler's method with step size 0.2 to estimate y(1), where y(x) is...

calculus 2 - Use euler's method with step size 0.2 to estimate y(1), where y(x) ...

calculus 2 - Use euler's method with step size 0.2 to estimate y(1), where y(x) ...

math - An initial-value problem is given by the differential equation, f(x,y)=x(...

Maths-Calculus - If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−...