Question: A 250-V, 4-pole, wave-wound d.c. series motor has 782 conductors on itsarmature. It has armature and series field resistance of 0.75 ohm. The motor takesa current of 40 A. Estimate its speed and gross torque developed if it has a flux per pole of 25 mWb Answer: Step 1 Mechanical Engineering homework question answer, step 1, image 1 Mechanical Engineering homework question answer, step 1, image 2 Step 2 Mechanical Engineering homework question answer, step 2, image 1 Step 3 Mechanical Engineering homework question answer, step 3, image 1

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Textbook Solution:

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Answer:

To determine

To match: The differential equation y'=sinxsiny$y\text{'}=\sin x\sin y$ with its direction field.

Answer

The differential equation y'=sinxsiny$y\text{'}=\sin x\sin y$ with its direction field matches with

LABEL II.

Explanation

Given:

The differential equation is as below.

y'=sinxsiny$y\text{'}=\sin x\sin y$

Calculation:

Substitute (0)$\left(0\right)$ for x$x$ and (0)$\left(0\right)$ for y$y$ in equation y'=sinxsiny$y\text{'}=\sin x\sin y$,

y'=sinxsiny=sin(0)sin(0)=0$\begin{array}{c}y\text{'}=\sin x\sin y\\ =\sin \left(0\right)\sin \left(0\right)\\ =0\end{array}$

Limits for slope: y'>0$y\text{'}>0$ for 0<x<π$0<x<\pi$ and 0<y<π$0<y<\pi$.

The short lines will be horizontal when slope is zero.

Graph:

The differential equation y'=sinxsiny$y\text{'}=\sin x\sin y$ with its direction field is shown below in LABEL II.

Conclusion:

From directional field in Label II, The slope of direction field is zero for x=0$x=0$ and y=0$y=0$.

Thus, the differential equation y'=sinxsiny$y\text{'}=\sin x\sin y$ matches with direction field in LABEL II.