# MTH401 Assignment 1 Solution 2021 - Differential Equations Assignment

This Post We Provide you MTH401 Assignment 1 Solution 2021. View Solved Assignment Solution Step by Step Method. Download MTH401 Assignment 1 Solution Spring 2021 below.

MTH401 ASSIGNMENT 1 SOLUTION SPRING 2021

Solution Perform in MathType Software

Total Marks: 10

Due Date: 10-June-2021

Solve the following differential equations:

Question 1:

dydx-2xy=x

, y0=1

SOLUTION: General Equation By Comparing Equation (1) and (2) So, Integrating Factor Multiply equation (1) by integrating factor Taking Integration on both sides Let, Taking Derivative on both sides Now equation (3) becomes Putting initial condition in equation (4) Putting value of c in equation (4) MORE ASSIGNMENT SOLUTIONS

Question 2:

The population of a certain community is known to increase at a rate proportional to the number of people present at any time. The population has doubled in 5 years, how long would it take to triple?

SOLUTION:

Suppose that is the initial population of community and p (t) the population at any time t then the population growth is governed by the differential equation As we know the solution of a differential equation is given by Since therefore from the above equation we have Taking natural log on both sides Therefore, the solution of the equation becomes If is t1is the time taken from the population to triple then Taking natural log on both sides Make sure you can make some changes to your solution file before submitting copy-paste solution will be marked zero.

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MTH401 Assignment 1 Solution 2021
Differential Equation Assignment Solution and Idea