Eulers method...

[Moko]

Heyy,
Does anyone know a quick way of approximating y values using Euler's method on the Ti Nspire??

Thanks in advance.

[Jenny_2108]

Heyy,
Does anyone know a quick way of approximating y values using Euler's method on the Ti Nspire??

Thanks in advance.

Click to the book symbol in the keyboard -> 1 -> euler(rule of dy/dx, x,y, {interval of x}, initial value of x,h)

[Moko]

ok, so how would you do this example (what would you type into the calc):

Euler's method, with a step size of 0.1, is used to solve the differential equation dy/dx= e^-x, with initial condition y=1 at x=2. When x=2.2, the value obtained for y, correct to four decimal places,is...?

[brightsky]

y(x+h) = y(x) + h*y'(x)
y(2+0.1) = y(2) + 0.1*y'(2) = 1+ 0.1*e^(-2)
y(2.1+0.1) = y(2.1) + 0.1*y'(2.1) = 1 + 0.1*e^(-2) + 0.1*e^(-2.1)

[TheRajinator]

Heyy,
Does anyone know a quick way of approximating y values using Euler's method on the Ti Nspire??

Thanks in advance.

Click to the book symbol in the keyboard -> 1 -> euler(rule of dy/dx, x,y, {interval of x}, initial value of x,h)

What do we put in {interval of x}

[Moko]

y(x+h) = y(x) + h*y'(x)
y(2+0.1) = y(2) + 0.1*y'(2) = 1+ 0.1*e^(-2)
y(2.1+0.1) = y(2.1) + 0.1*y'(2.1) = 1 + 0.1*e^(-2) + 0.1*e^(-2.1)

Yeah I know how to do it by hand, I just wanna see how you'd do it via ti-nspire CAS...So again, how would you do this example:

ok, so how would you do this example (what would you type into the calc):

Euler's method, with a step size of 0.1, is used to solve the differential equation dy/dx= e^-x, with initial condition y=1 at x=2. When x=2.2, the value obtained for y, correct to four decimal places,is...?

[WhoTookMyUsername]

Ye does anyone know what to type into cas?

[stephanieteddy]

I typed in the program on page 374 of the essential maths book!

[monkeywantsabanana]

I typed in the program on page 374 of the essential maths book!

By the time you finish plugging in those numbers in your CAS in that program, you would have done 500 Euler steps by hand.

[Jenny_2108]

Heyy,
Does anyone know a quick way of approximating y values using Euler's method on the Ti Nspire??

Thanks in advance.

Click to the book symbol in the keyboard -> 1 -> euler(rule of dy/dx, x,y, {interval of x}, initial value of x,h)

Sorry, I deleted my old account so I didnt recognise other posts.

Interval of x means the domain of x we put in

ok, so how would you do this example (what would you type into the calc):

Euler's method, with a step size of 0.1, is used to solve the differential equation dy/dx= e^-x, with initial condition y=1 at x=2. When x=2.2, the value obtained for y, correct to four decimal places,is...?

You type in CAS: click book -> 1 -> euler(e^-x,x,y,{2,2.2},2,0.1) -> enter 

The point is the CAS gives result x=2, y=2 but in the question, the initial y value is 1

I asked my teacher how we could type the initial y value but she said only need to type the initial x value 

Anyway, the CAS gives the answer at x=2.2, y=2.025779

[stephanieteddy]

I typed in the program on page 374 of the essential maths book!

By the time you finish plugging in those numbers in your CAS in that program, you would have done 500 Euler steps by hand.

Yes but now I can do it really really quickly on the exam!

[Jenny_2108]

I typed in the program on page 374 of the essential maths book!

By the time you finish plugging in those numbers in your CAS in that program, you would have done 500 Euler steps by hand.

Yes but now I can do it really really quickly on the exam!

what program is it? I dont use essential textbook so dont know about it though

[monkeywantsabanana]

Heyy,
Does anyone know a quick way of approximating y values using Euler's method on the Ti Nspire??

Thanks in advance.

Click to the book symbol in the keyboard -> 1 -> euler(rule of dy/dx, x,y, {interval of x}, initial value of x,h)

Sorry, I deleted my old account so I didnt recognise other posts.

Interval of x means the domain of x we put in

ok, so how would you do this example (what would you type into the calc):

Euler's method, with a step size of 0.1, is used to solve the differential equation dy/dx= e^-x, with initial condition y=1 at x=2. When x=2.2, the value obtained for y, correct to four decimal places,is...?

You type in CAS: click book -> 1 -> euler(e^-x,x,y,{2,2.2},2,0.1) -> enter 

The point is the CAS gives result x=2, y=2 but in the question, the initial y value is 1

I asked my teacher how we could type the initial y value but she said only need to type the initial x value 

Anyway, the CAS gives the answer at x=2.2, y=2.025779

Amazing stuff! Many thanks!