can you give an example in real life, where differential equations are applied?

Q: Create a differential equations exercise related to Cooling and warming  (Describe the situation)

A:

Q: Determine the function if it is a solution to the differential equation or not.

A: Given function is a solution of the differential equation. This is a complimentary solution along…

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: How differential equations and may lab helps in architectural engineering field

A: MATLAB is a computer program that provides the user with a convenient environment for performing…

Q: Among the first-order differential equations, which method appears to be easiest and hardest? Please…

A: Soln: Easiest method is possible when given ODE ishomogeneous equation: For homogeneous differential…

Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: What are modeled with differential equations?

A: Here we define the differential equations.

Q: We saw that in the nonlinear system of differential equations:

A: Given: The nonlinear system of equations is, H  x, y=y22+x22-x33

Q: What is the appropriate method to find the general solution of this differential equation?

A:

Q: What is the differential equation given functions?

A:

Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Determine the general solution of the differential equation

A:

Q: What is a first-order linear differential equation?

A:

Q: Create an example (a problem) of differential equations (any), where it applies in real life.

A:

Q: Explain the Linear Differential Equation?

A: Linear differential equation is linear polynomial equation which consists of derivative of dependent…

Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: Give two examples of your own for order and degree of a differential equation

A:

Q: How do you solve linear first-order differential equations?

A: First order linear differential equations are in the form of dydx+Pxy=Qx. These equations can be…

Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: Which are the differential equations and initial conditions?

A:

Q: Discuss a real time application of linear differential equation

A: According to the given information, it is required to explain about the real time application of…

Q: Define solution of a differential equation with example.

A:

Q: Is the logistic equation a linear differential equation?

A:

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: explain the concept of a standing wave and how it applies to differential equations

A: A standing wave, is a wave which oscillates in time whose peak amplitude profile will not move in…

Q: when we determine the highest derivative in a differential equation, we are actually determining the…

A: According to the question, we have to check the statement either it is true or false and the…

Q: Give two solve examples of High order differential equations.

A:

Q: Explain the Systems of Differential Equations?

A: We have to explain system of differential  equation.

Q: What does it mean when we say that two or more differential equations are coupled?

A: A differential equation is an equation that carries one or more functions with its derivatives. The…

Q: What is a Solution to an Ordinary Differential Equations?

A: The Solution to an Ordinary Differential Equation is an equation that satisfies the given…

Q: Find the solution of the differential equation system

A:

Q: Write the first-order linear differential equation in standard form.

A: Standard form of linear differential equation is y'+P(x)y=Q(x).

Q: Determine whether the differential equation (2− y′)/ y= 5x is linear. Explain your reasoning.

A: To determine whether the differential equation (2-y')/y=5x is linear.

Q: 21

A:

Q: Find the solution of the system of differential equation

A:

Q: What is a first-order differential equation? When is a function a solution of such an equation?

A:

Q: how to solve the differential equation?

A: Given : Diffrerential equation (D4 - D3 - 9D2 - 11D - 4)y = 0   To find : Solution of the given…

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: What iş the special solution of the differential equations?

A: The given differential equation is dydx=-4y+2ex and the initial condition is y(0)=0. The…

Q: the order of the differential equation is one factor in determining the linearity of the…

A: A differential equation is linear if the dependent variable and all its derivative are not…

Q: What does it mean for a function to be a solution to a differential equation?

A: A function is said to be a solution of differential equation if it satisfies the differential…

Q: If an object's mass is changing at a rate proportional to its weight at a given time, does it make…

A: Two quantities are said to be proportional if they are increase or decrease in same manner. In such…