Solve: dA/dt = -10A A(0) = 5 --------------------- I tried integrating both sides: dA/-10A = dt int(dA/-10A) = int(dt) -1/10*int(A^-1 dA)...

Solve: dA/dt = -10A A(0) = 5 --------------------- I tried integrating both sides: dA/-10A = dt int(dA/-10A) = int(dt) -1/10*int(A^-1 dA)...

Solve-: (x2)d2y/dx2-(3x)dy/dx+4y=2x2

Given y=1 when x=3. Express y as a function of x

This is to be done with linear equations form.

a) e^x b) square root of 2x c) x d) none of these

the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.

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

Show that if a two-dimensional (nonlinear) mass-action system has a globally attracting compact set within the strictly positive quadrant, then it is persistent and it is also permanent.

solve the differential equation

Solve the following systems of initial-value problems using the Laplace transform method: x'1 - 3x'2 + 4x1 - 5x2 = 0 , x'2 - x'1 + 3x2 = 5 , x1(0) = 0 , x2(0) = 0

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

Find the Laplace transform of the following function. Fa(t) = {t/a for t < a, where a >(or equal to)...

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...

Given $\frac{\partial x}{\partial t}+x^3=yx^2$, $x(0)=x_{0}$, where $x$ : $\mathbb{R}^+ \mapsto \mathbb{R}$ and $y$ : $\mathbb{R}^+ \mapsto \mathbb{R} $ with $\int_{0}^{t} y^2(s) ds <...

Find the general solution to tln(t)dr/dt+r=7te^t I used integrating factor to solve it and found the answer= C/lnt+7e^t/lnt but it's wrong?

Put the differential equation ty'/(t^3+7)y=cos(t)+(e^(5t))/y into the form y'+p(t)y=g(t) find p(t) find g(t)

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...

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