## Differential Equations Resources Solve ODE with initial conditions

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)... differential equations

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)=... How to solve exact differential equation?

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... Solve the following initial-value problem using Laplace transforms.   y''- y' - 2y = 5sin(x) ; y(0) = 1 , y'(0) = -1 how to reduce a second order differential equation to bessels equation

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... Differential Equations.

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? Differential Equations.

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) Differential Equations.

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=... Differential Equation Question

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...