To prove time delay trajectory for the following figure traces an ellipse for 0 < τ < π 2 Concept Introduction: The general format of the ellipse equation is Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 A, B, C, D, E, F are constants and (x,y) is a set of points. The condition for non-degenerate real ellipse is, B 2 − 4AC < 0 and C | A B 2 D 2 B 2 C E 2 D 2 E 2 F | = C Δ < 0 If C Δ > 0 , ellipse is imaginary, and if Δ = 0 , then ellipse is a point.

Question

Suppose that y = f(t) is the solution of the initial value problem - tyy' − y² = (t + y)², y(1) = 1 Use Matlab's ode45 to find f(5). Round your answer to 3 decimal places.

Answer 1

Question

Chapter 12.4, Problem 1E

Interpretation Introduction

Interpretation:

To prove time delay trajectory for the following figure traces an ellipse for 0<τ<π2

Concept Introduction:

The general format of the ellipse equation is

Ax2+ Bxy + Cy2+ Dx + Ey + F = 0

A, B, C, D, E, F are constants and (x,y) is a set of points.

The condition for non-degenerate real ellipse is,

B2−4AC<0 and

C|AB2D2B2CE2D2E2F|=CΔ<0

If CΔ>0, ellipse is imaginary, and if Δ=0, then ellipse is a point.

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Subject— Applied mathematics