Shown above is a slope field for which of the following differential equations?(A) dyx(4-y)4dyy(4-y)(B)(C)(D)dzdy=xy(4-y)4dy = 1²(4-y)da==dy222

Given: Here is the given slope field, To find: The correct differential equations for the above…

Answered: 뿜뿜뿜뿜 = 1 1 1~ // /// Shown above is a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the differential equation y'= -2x (A) At the point (1, -1), the direction field has a slope of (B) At the point (-1, 1), the direction field has a slope of (C) Along the x-axis the slope of the direction field is equal to which number or expression? (D) Along the y-axis the slope of the direction field is equal to which number or expression? (E) Use your answers above to help choose the correct direction field for the differential equation. 1 ✓ 2 1 CAI -1- Ō 151 X / 1 / 11 1 1 / // -1 1|1 1 N Q 2 2 NN NIX V NN / / / 17 1 +5/ -17 -1 21 1 4342 V N / // 1 Q f 1 775 \ \\ \ \-1 + \\\' 1 1 1 1 1 1 1 1 2 J 1 / 1 / 1 1 1 1 7 +71 I -1 / / 1-1 / / - \ \ 1 / /-1- \ // +1 OF I 1- / 4 ¹1 111 7 1 a
Which one is the fourth order differential equation whose solutions are e^(3x),e^(−3x) and xe^(2x) ? a-) z^(4)+4z′′′−5z′′−36z′−36z=0 b-) z^(4)−4z′′′−5z′′−36z′−36z=0 c-) z^(4)−4z′′′−5z′′+36z′−36z=0 d-) z^(4)−4z′′′−5z′′−36z′+36z=0
an' = ? If g(x,y) and dg = mdx – ndy. Also, dg is an exact differential, then ду A. ). Ləx. m an В. Ləm) x c. - () ag` С. дх. - ). D. | ду E. ). ду дт.
Define the ?1 - nullcline of differential equation dx->dt =Ax->

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뿜뿜뿜뿜 = 1 1 1~ // /// Shown above is a slope field for which of the following differential equations? -- 1~ -->