Question
Find an explicit solution of the given initial-value problem.
(1 + x4) dy + x(1 + 4y2) dx = 0,    y(1) = 0

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: An inferior product with a large advertising budget sells well when it is introduced, but sales fall...

A: S=200tt+82,      t≥0 Here S is the weekly sales and t is time in weeks. We need to calculate how man...

Q: Find polar coordinates of the point whose rectangular coordinates are (-2, 0).

A: x, y=-2, 0⇒x=-2 & y=0

Q: Recall that f is the function that accepts values of t, the number of years since 2010, and g is the...

A: function 1 = f(t)   where  t = number of years since 2010 function 2 = g(y)   where  y = the actual ...

Q: A piece of cardboard measures10 in. by 15 in. Two equal squares are removed from the cornersof a 10-...

A: Click to see the answer

Q: 39-42 - Equations That Represent Functions Determine whether the equation defines y as a function of...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D

A: Given data:   The expression for the first function is u(x)=f(x)g(x). The expression for the second ...

Q: (1) Consider the following:  x = 1+t-1 and y = t2. Express in the form y = f(x) by eliminating the p...

A: Click to see the answer

Q: Find the Use the method of cylinders to determine the volume of the solid obtained by rotating the r...

A: Given that: The curves, y=4x    and    y=x3,  x≥0 To draw the graph of the given curves,

Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the torto...

A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start S...

Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: Use polar coordinates to find the limit:

A: To find limit using polar coordinates limx,y→0,0e-x2-y2-1x2+y2

Q: zoom for a better view

A: P=$4,000 , r=8%=0.08 & t=5 months=512 year   ∵1 year=12 months

Q: Let g(x)= 5 - 5x + 4x2 then the expression (g(x+h) - g(x))/h can be written as Ah + Bx + C, where A,...

A: Given: g(x)=5−5x+4x2

Q: Nicole claims that each of the following pairs of functions are inverses. However, ONE of the pairs ...

A: Given: f(x)=2x+4 and f−1(y)=1/2y−2 f(x)=x+2/4 and f−1(y)=4y−2 f(x)=x/7+8 and f−1(y)=7(y−8) f(x)=5x...

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx

A: Click to see the answer

Q: Find dy/dt if y=ln(t^2+1)/(squareroot of (4-t) dy/dt=

A: Click to see the answer

Q: Solve the following 2nd order Linear homogeneous /non-homogenous differential equation?           y'...

A: Second- Order Linear non-homogeneous differential equation has the form of:  ay''+by'+cy=g(x) The ge...

Q: (a) P(q)=3q^2+q+7 Find the derivative by using the definition. p'(q)= (b) Find the instantaneous rat...

A: P(q)=3q^2+q+7 We need to find the following (a) Find the derivative by using the definition. p'(q)= ...

Q: the roots of 1000pi*cos(pix/6) from [0,12] i know its 3 and 9, but how do i calculate it

A: Click to see the answer

Q: Complete graph of polynomial function whose zeros are integers is shown (see attached), Solve the fo...

A: (a) zeros: The zeros are the points where the graph touches x- axis  From the graph, it is seen that...

Q: The greatest integer function is defined by [x] = n, where n is the unique integer such that n< x < ...

A: given: the greatest integer function [x]=n where n≤x&lt;n+1 the given expression are: limx→-5.8+xlim...

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.2x + 7400, 0...

A: Given:   C=0.2x+7400,  0≤x≤50,000             R=110,00068,000x-x2 ,     0≤x≤50,000

Q: Determine the first four terms of the Maclaurin series for sin 2x (a) by using the definition of Mac...

A: (a) Calculate the derivative for f(x) = sin(2x) and the the value for the derivatives till 8th order...

Q: 1. Use one of the definitions of the derivative at a point to determine the slope of the tangent lin...

A: f(x)=2x2-x We need to find the slope of tangent at the point (1,1)

Q: In Exercises 45–48, calculate the derivative using the values: f(4) f'(4) 8(4) g'(4) -1 10 -2 5

A: Calculate the derivative F'4,wher F(x)=x2f(x)We are given f(4)=10f'4=-2

Q: A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much wor...

A: force = 8 lb        spring stretched (x)= 8 in. According to Hooks law,F=-k×xk=-Fxk=-88k=-1 lb/in.

Q: Calculus Question

A: The length of equal sides of the isosceles triangle  l=5cm angle between these two sides =θ+θ=2θ Are...

Q: Complete the following statement. If dy/dx is large, then smallchanges in x will result in relativel...

A: According to the question, we have to complete the statement, If dydx is large, then smallchanges in...

Q: zoom for a better view

A: Given  $2700 is deposited quarterly for 20 years at 4% per year.  

Q: Find the second derivative of the function f(x) = x sin(x) + cos(x)

A: The given function is fx=xsinx+cosx.  The product rule of the derivative is : ddxfx×gx=fxddxgx+gxddx...