Laplace -- relationship between transform of function and transform of derivative of function
Please see attachment.
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
1a) Solve dy/dx = 2xy^2 , y(0) =1
b) Explain why the Euler's method cannot be used to approximate y(2)?
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
Obtain the general solution to the equation
Solve the differential equation. (x^2+1)dy/dx + xy = x
Find the solution to: (6xy-y^3)dx + (4y+3x^2-3xy^2)dy =0
(2xy)dx + (y^2-3x^2)dy = 0
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
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
use the definition of convolution to show that f*g=g*f
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