Find the solution of the differential equation that satisfies the given initial condition. (a) dy/dx = x/y'

Question:

Find the solution of the differential equation that satisfies the given initial condition.
(a) dy/dx = x/y' y(0) = -3
(b) du/dt = 2t + sec2t/2u, u(0) = -5
(c) x 1n x = y(1 + √3 + y2)y', y(1) = -1

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 07:14 AM

See More Questions

Find the solution of the differential equation db/dt = bp in the following cases. At what time does it approach infinity? Sketch a graph. p = 2 (as in the text) and b(0) = 100.
Find the solution of the differential equation db/dt = bp in the following cases. At what time does it approach infinity? Sketch a graph. p = 2 and b(0) = 0.1.
Find the solution of the differential equation db/dt = bp in the following cases. At what time does it approach infinity? Sketch a graph. p = 1.1 and b(0) = 100.
Prepare a company analysis (strengths and weaknesses) Instructions - Prepare the SW portion of a SWOT analysis as a report. Use your textbook and the instruction below. Prioritizing the Results: The...
On January 4, 2014, Ambers Boutique paid cash of $95,000 for a 10-year franchise. Prepare the entry to record the purchase of the franchise and the adjusting entry at December 31, 2014.
For the following exercises, find the domain of each function, expressing answers using interval notation. f(x) = x 6/x 4
Analyze the tube-flow reactor data in Table B. 6 using all possible regressions. Evaluate the subset models using the $R_{p}^{2}, C_{p}$, and $M S_{\text {Res }}$ criteria. Justify your choice of...
Layla meets with her insurance agent, Trong, to discuss her insurance needs. Layla has an after-tax income of $3,800 per month, her rent is $1,200, and her other expenses total $1,500 per month....
MyBnB started a home rental company on January 1. As of November 30, MyBnB reported the following balances. The company does not yet have a balance in Retained Earnings because this is its first year...
Two streams of the same ideal gas having different mass flow rates and temperatures are mixed in a steady-flow, adiabatic mixing device. Assuming constant specific heats, find the simplest expression...
(a) dy / dx = xy2 (b) xy2 y' = x + 1 (c) (y + sin y)y' = x + x3
Find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is xy.
Give the antiderivatives of 1/x, for x > 0.
Two plates with area 2.00 10- m are separated by a distance of 2.60 10-4 m. A charge of 3.40 10-8 C is moved from one plate to the other. Assume that the separation distance is small in comparison...
A satellite moves in a circular orbit around the Earth at a speed of 7 km/s. Determine the satellite's altitude above the surface of the Earth. Assume the Earth is a homogeneous sphere of radius 6370...
A chain 73 meters long whose mass is 26 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 8 meters of the chain to the top...
The acceleration function of an object is given by a(t) = 6t - 2, where t is in seconds and a is in m/s. It is known that at t = 2s, the object's velocity and positions are 4 m/s and 3 m,...
1. A bicycle tire is rotating counterclockwise at 3.141 rad/s. Over the course of 10.0 seconds, the tire's rotation slows uniformly until it comes to a complete stop. w=3.141 rad/s Fig. 4 - a bicycle...
Assume that our research hypothesis for the above study is nondirectional. That is, while we believe that the type of treatment given will affect the level of depression, we have no idea which...
6. (Potential Energy and Conservation of Energy) What should be the spring constant k of a spring designed to bring a 1200-kg car to rest from a speed of 95 km/h so that the occupants undergo a...
Does the function f(x) = e 10 |x-2|-x 2 have an absolute maximum? If so, find it. What about an absolute minimum?
Find the numerical value of each expression. (a) sech 0 (b) cosh -1 1
Find the numerical value of each expression. (a) sech 0 (b) cosh -1 1
The highest WACC is 11%, the baseline WACC is 7.4% and lowest WACCS is 2.8%. To derive a WACC that better accounts for extreme scenarios, you decide to assign the following probability weights: High-...
Give 2 examples of the ff: Statutory law Regulatory law Common law Include the title of each example and explain why you chose these examples ( 1 to 2 sentences ) . Note: Write your reference ( s )
The Adams family includes a financially well-informed couple, both aged 36, and two children aged 4 and 6. The family is financially sound but suffered badly during the tech meltdown in 2000. The...

Find the solution of the differential equation that satisfies the given initial condition. (a) dy/dx = x/y'

Question:

Step by Step Answer:

a dydx xy ydy xdx 12 3 2 120 2 C C 92 so 12 y 2 12 x 2 9...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions