Hi, can somebody help me to solve these differential equations. 1. Da*(ex+sqrt(a))/sinx 2. D[e2xcos(3x)] 3. D*1/sqrt(1+x2) 4. m(t)=...

Hi, can somebody help me to solve these differential equations. 1. Da*(ex+sqrt(a))/sinx 2. D[e2xcos(3x)] 3. D*1/sqrt(1+x2) 4. m(t)=...

Hello all! New to this Q&A thing so go easy on me please :) I'm finding difficultly solving this question. Could someone help me find the answer + show all working that would be great...

by operational factors

solve the differential equation

Solve the following initial-value problem using Laplace transforms. y''- y' - 2y = 5sin(x) ; y(0) = 1 , y'(0) = -1

Dear expert, kindly suggest how to solve a second order differential equation by transforming it into Bessels' differential equation using a given substitution. Eg solve: xy''+y'+y/4=0...

I've been trying to solve this problem for hours. Find the solution of the differential equation (ln(y))^4 dy/dx=x^4*y which satisfies the initial condition y(1)=e^2 y=...

How would I write this in matrix form (x' = AX) x' = x y' = y Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v...

Find the derivatives of each of the following vectors. x(t) = [ t3 - 2t2 +t etsin(t) ]

Determine the specific solution of the following initial-value problems. Use the method of undetermined coefficients to find the particular solution. y'' - 2y' + 2y = x3 - 5, y(0)=6 and...

Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equations. y'' - 2y' + 2y = sin(x) + cos...

Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equation. y''- 4y' + 4y = 2e2x+3 note:...

Determine the specific solution of the following initial-value problems. y''-6y'+9y=0, y(-2)=1 and y'(-2)=0

Let f be the function defined as follows. y = f(x) = √(9x+5) (a) Find the differential of f. Answer: dy = (9/2√(9x+5))dx (b) Use your result from part (a)...

Determine the specific solution of the following initial-value problem. y''+ 4y = 0, y(pi)=0 and y'(pi)=1 My answer is: y=(0)cos(2x) + C2sin(2x) or simply y=C2sin(2x) Note:...

Suppose x=c_1e^-t+c_2e^(5t) Verify that x=c_1e^-t+c_2e^(5t) is a solution to x''-4x'-5x=0 by substituting it into the differential equation. 1)...

Given that y(t)=c1e+4t+c2e^-4t is a solution to the differential equation y''-16y=0 where c_1 and c_2 are arbitrary constants, find a function y(t) that satisfies the conditions y''...

let y''+6y'-16y=0 a) Try a solution of the form y=e^(rx), for some unknown constant r, by substituting it into the differential equation. ...................=0 b)Simplify...

It is easy to check that for any value of c, the function y=ce^(-2x)+e^(-x) is solution of equation y'+2y=e^-x Find the value of c for which the solution satisfies the initial...

Solve y''=sin(x) if y(0)=0 y'(0)=3 y(x)=? I found y(x) = 1/3x-sin(x) but it says its wrong