Mathematics Homework Solutions

Laplace : Relating Transform of a Function and Transform of the Derivative

Please see the attached file for the fully formatted problems. Problem statement: What really makes Laplace transforms work for differential equations is the relationship between the transform of a function and the transform of the derivative of that function. Therefore, the formula you will prove below is key to all that ...continues

Posting ID: 17715

Differential Functions : Values for Possible Solution

Determine for which values of m the function y(x)=x^m is a solution to the differential equation. 3x^2*y'' + 11x*y' - 3y = 0

Posting ID: 17840

1a) Solve dy/dx = 2xy^2 , y(0) =1

b) Explain why the Euler's method cannot be used to approximate y(2)?

Posting ID: 17906

Which of the following are solutions to dy/dx = 3y^2/3 , y(2) = 0 ? Explain.

a) y(x) = 0 b) y(x)= (x-2)^3 c) y(x) = {(x-a)^3, xb where a<2

Posting ID: 17907

Obtain the general solution to the equation

Solve the differential equation. (x^2+1)dy/dx + xy = x

Posting ID: 17909

Solve the equation

Find the solution to: (6xy-y^3)dx + (4y+3x^2-3xy^2)dy =0

Posting ID: 17910

Differential Equation

Solve : (2xy)dx + (y^2-3x^2)dy = 0

Posting ID: 17911

Pursuit Problem

A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks AT ALL TIMES directly at the dog with a speed of s>1 miles per hour. 1. Find the equation (in the form y = f(x)) that describes the path of the master. 2. When and where does the master overtake the do ...continues

Posting ID: 19420

Laplace Transform

Use the laplace transform to solve the ODE y"+3y = cos(2t), y(0)=0 , y'(0)=0 Show all details related to using the inverse transform.

Posting ID: 19552

Convolution : Show f*g=g*f

Use the definition of convolution to show that f*g=g*f.

Posting ID: 19560
Browse