Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14
Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's Method -35.318 -36.458 -658.91 -669.05 +5y² = sin (x), y(0.3) = 5 Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2 Method -4936.7 -4297.4 -0.21336x10^14 -0.24489x10^14
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Question
![Given the ODE shown below:
3
dy
dx
Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's
Method
-35.318
-36.458
-658.91
-669.05
+5y² = sin (x), y(0.3) = 5
Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2
Method
-4936.7
-4297.4
-0.21336x10^14
-0.24489x10^14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c0d6ea7-148e-4de7-90cf-764c96bb31b3%2Fb551bf91-6632-453e-88ea-1faf02c8c4ef%2Fx01g7ni_processed.png&w=3840&q=75)
Transcribed Image Text:Given the ODE shown below:
3
dy
dx
Using a step size of h = 0.3, find the approximate value of y(0.9) using Euler's
Method
-35.318
-36.458
-658.91
-669.05
+5y² = sin (x), y(0.3) = 5
Using a step size of h = 0.3, find the approximate value of y(0.9) using RK2
Method
-4936.7
-4297.4
-0.21336x10^14
-0.24489x10^14
![Using a step size of h = 0.3, find the approximate value of y(0.9) using RK4
Method
O -0.25011x10^40
O -1261.5
O-4297.4
0.88498](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c0d6ea7-148e-4de7-90cf-764c96bb31b3%2Fb551bf91-6632-453e-88ea-1faf02c8c4ef%2Fc4z9vu_processed.png&w=3840&q=75)
Transcribed Image Text:Using a step size of h = 0.3, find the approximate value of y(0.9) using RK4
Method
O -0.25011x10^40
O -1261.5
O-4297.4
0.88498
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