MATH 100A ALL 2022 X WeBWork : 2022W1_/ x C Lety"+ 49 y=0. Find a x Sy f'(x) =-f^2(x) - Symbol x C Find the first 4 terms ( x C Lety'=4xy' = 4x . Fir x C |Chegg.com X + V X -> C a webwork.elearning.ubc.ca/webwork2/2022W1_MATH_100A_ALL_2022W1/Webwork-Assignment-9/20/?effectiveUser=OXGYM7W4F603 Y IYGUYVIR-ASSIyIIIIICHICV. ITVNICIII LV (1 point) Consider the differential equation dy = 4x, da with initial condition y(0) = 5. A. Use linear approximation (Euler's method) with two steps to estimate y when * = 1: y(1) ~ 4 (Be sure not to round your calculations at each step!) Now use four steps: y(1) ~ 4 (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? 4 C. What is the magnitude of the error in the two Euler approximations you found? Magnitude of error in Euler with 2 steps = Magnitude of error in Euler with 4 steps = Note that in this example, the right hand side of the differential equation is a function of the independent variable a instead of the dependent variable y. Nonetheless, you can apply Euler's method. Note: You can earn partial credit on this problem. 8 . C ENG Sunny O P3 6:46 PM US 2022-11-17 4