Please show all work 6. (10 pts). Use linearization or differential to estimate e0.1
please show all work Use variation of parameters to find the general solution of the differential equation: đư” =T.
Please show all work . Differential equation
4. (5 pts) For f(x) = 210 a. Find the linearization of f(I) at =1 b. Use your linearization to estimate (1.003) 10
please show all work 2. [10 pts| Use the expansion method to find O(e²) approximations for each of the three roots of x³ + €x² + 1 = 0. ex? Note. For this problem it's useful to make use of the identity eir = –1.
Please answer all parts of the question and make writing legible f(x)-sin(x) a. Use differentials and linearization to estimate the value sin(1.02) b. Sketch the graph that demonstrates the concepts of linearization as it pertains to this problem given c. Based on the graph sketched not what is on the calculator, is your estimate an overestimate or underestimate? Explain the reasoning referring to the sketch in part b. Verify your conclusion by using the calculator to find the actual value...
This is Math Differential Equation. Please Show Your Full Work. Thank You! 8. (7 pts) Solve y"-10'+25y Se In x by variation of parameters. 8. (7 pts) Solve y"-10'+25y Se In x by variation of parameters.
please show all work neatly! also this is a differential eqaution problem
11. please show all work and specify which letter answer If one solution of the differential Y"+2ylty=0 is yi=e* Use method of reduction order (lety-oy), a second linearly independent solution is a) y = et c) y=xe* e) y e* 6) y=xe d) y=c
9. Use linearization to approximate sin(3.14). (4 pts)
Please show all work if possible, thanks! Show that the system of differential equations is Hamiltonian, and find a Hamiltonian function H(x,y). You may assume that H(0,0) = 0. 3y2 - 2.c dx dt dy dt 6x2 + 2y