Differential equation (dy/dx) +x^2 = x^2*e^(3y), Mathematics

Assignment Help:

The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y).

Solution)(dy/dx) +x^2 = x^2*e^(3y)

dy/dx=x2(e3y-1)

x2dx=dy/(e3y-1)

this is an elementary, variables separable equation

 


Related Discussions:- Differential equation (dy/dx) +x^2 = x^2*e^(3y)

What is the total balance of an account after 18 months, A certain bank pay...

A certain bank pays 3.4% interest per year for a certificate of deposit, or CD. What is the total balance of an account after 18 months along with an initial deposit of $1,250?

Find the values of k, If the vertices of a triangle are (1, k), (4, -3), (-...

If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value(s) of k..

Division, there are 2,500 chips in a bag you slit them up into 20 groups ho...

there are 2,500 chips in a bag you slit them up into 20 groups how many chips are in a group

Evaluate the circumference of circle, If the diameter of a circle is triple...

If the diameter of a circle is tripled times, the circumference is a. multiplied by 3. b. multiplied by 6. c. multiplied by 9. d. multiplied by 12. a. The formula fo

Prove that the ratio of the sum of odd terms, If there are (2n+1)terms  in ...

If there are (2n+1)terms  in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans:    Let a, d be the I term & Cd of the AP. ∴ ak =

Integers, The set of whole numbers also does not satisfy all our requ...

The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To

Example of complex roots, Solve the subsequent IVP. y'' - 4y' + 9y = 0, ...

Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As:  r 2 - 4r + 9 = 0

Spurious correlations, Spurious Correlations - in several rare situati...

Spurious Correlations - in several rare situations when plotting the data for x and y we may have a group indicating either positive correlation or negative (-ve) correlation

Evaluate subsequent proportion, Evaluate subsequent proportion: Examp...

Evaluate subsequent proportion: Example 2: If 5 pounds of apples cost 80 cents, how much will 7 pounds cost? Solution: By using x for the cost of 7 pounds of appl

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd