Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
In the prior section we looked at Bernoulli Equations and noticed that in order to solve them we required to use the substitution v = y1-n. By using this substitution we were capable to convert the differential equation in a form which we could deal along with but, linear in this case. In this section we need to see a couple of other substitutions which can be used to reduce several differential equations down to a solvable form.
The first substitution we'll take a seem at will need the differential equation to be in the create,
y' = F(y/x)
First order differential equations which can be written in this form are termed as homogeneous differential equations. Remember that we will generally have to do several rewriting in order to place the differential equation in the exact form.
Once we have verified as the differential equation is a homogeneous differential equation and we've gotten this written in the exact form we will use the subsequent substitution.
n (x) = y/x
We can then rewrite this as,
y = xn
And after that remembering that both y and v are functions of x we can utilize the product rule to calculate,
y′ = n + xn′
In this substitution the differential equation is like,
n + xn′ = F(n)
⇒ xn′ = F(n) - n
⇒ dv/ F(v) - v = dx/x
When we can notice with a small rewrite of the new differential equation we will have a separable differential equation after the substitution.
Danielle requires knowing the distance around a basketball court. What geometry formula will she use? The perimeter of a rectangle is two times the length plus two times the wi
If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans: AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A
Ask question #Minimum 1Let X be a topological space, let p ? X, and let F and ? be C-valued functions on X that are continuous at p. Then the functions F + ?, F?, |F|, ReF and ImF
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
how to divide fractions
In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:
1. Consider the relation on A = {1, 2, 3, 4} with relation matrix: Assume that the rows and columns of the matrix refer to the elements of A in the order 1, 2, 3, 4. (a)
Describe Simplifying Fractions with example? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, div
would like explaination on how to do them
a washing machine costs $640 plus an installation charge of 7.5% what is the totalcost?
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd