Write in your words about some of the applications of the partial differential equations

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: The type of the partial differential equation du 2- ởu o'u =0 is +6- +3

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Q: The decay is basically governed by the first order differential equation = - ka is

A: We have to identify the given statement as true or false.

Q: %3D 2. ne 3० - ५

A: Discriminant of PDE of the form A∂2u∂x2+B∂2u∂x∂y+C∂2u∂y2+D∂u∂x+E∂u∂y+Fu=0 is given by  D=B2-4AC…

Q: We saw that in the nonlinear system of differential equations: %3D the quantity 1 1 1 (7, 4) = ;v° +…

A: Given the level curves of the nonlinear system of equations as Hx,y=y22+x22-x33. We need to find the…

Q: A differential equation is partial if it has more than one independent variable. Select one: True…

A: Differential equations are the equations in derivatives of the dependent variable w. r. t…

Q: Determine whether the statement " y′ + x√y = x2 is a first-order linear differential equationis " is…

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Q: Vhat is the particular solution to the differential equation with the initial ondition y(3) = -4?…

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Q: What are the rules or theorems that you may use to identify the difference between linear and…

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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: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: 4. (D* – 1)y = 0

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Q: Suppose everyone in Los Angeles is either a UCLA fan (C) or a USC fan (S). USC fans convert to…

A: Consider the provided question, Let at time t, there are S number of USC fans and C number of UCLA…

Q: If the general solution of the differential equation having 14 arbitrary constants, then the order…

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Q: How would I solve the differential equations/initial value problems? Please explain each step, it…

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Q: If the general solution of the differential equation having 10 arbitrary constants, then the order…

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Q: Decide if the differential equations whose slope fields are shown below involve only x, only y, both…

A: To Find: Decide if the differential equations whose fields are shown above involves only x, only…

Q: 1 2 1. X 0 -2 1 X || 3

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Q: or the general solution of the below differential equation

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Q: Find the solution of the partial differential equation- = 3 dt? by variable separable method

A: given partial differential equation  ∂2z∂x2=3∂2z∂t2 to find -solution of the partial differential…

Q: (D – 3D + 2) y = (1+ e-")?

A: I am attaching image so that you understand each and every step.

Q: A solution which contains as many as arbitrary constants as the order of differential equation is…

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Q: 1. (2D² + 3D + 1) y = e-3=

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Find the general solution of the following system of differential equation.

A: We will find out the required solution.

Q: Eliminate the arbitrary constants from z= (x-a)^2 + ( y- b)^2 to form the partial differential…

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Q: (0.g)=

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Q: I know that a higher order differential equation can be turned into a linear system, but is the…

A: Please see the below picture for detailed solution.

Q: Find a partial differential equation by eliminating a, b, c Iro

A: To eliminate the constants a,b,c in the equation we will partially differentiate the equation with…

Q: 1) (y = 1

A: As per our guideline we can solve maximum one question you can repost other questions

Q: a partial differential equation can have more than one independent variable. true or false?

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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: Explain in detail the use of partial differential equations in the application of heat transfer

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Q: Show that: a) The price of the stock itself, that is when u(t, X1) = X1, solves the…

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Q: 3. Solve the partial differential equation a²z +16 = 0 ax?

A: Solution:-

Q: The formation of the partial differential equation by eliminating arbitrary constants a, b from the…

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Q: X' -1 et x + 3 -2

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Q: ... Find the general solution of the system of linear differential equations (expr83s your answer in…

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Q: Find the solution of the system of differential equation

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Q: Determine the solutions of the 1st-order linear differential equations below 3x2y′ = 2y(y −3)

A: Use separable variable method

Q: What are the Mixture Problems? How these are related with differential Equations?

A: Mixing Problems:  If we will start with a substance that is dissolved in a liquid. Liquid will be…

Q: When solving a parabolic second order, linear partial differential equation, an implicit method can…

A: To explain if the given statement is true or false: "when solving a parabolic second order, linear…

Q: Determine the solution of the system of differential equations where a, b belong to R- [0]

A: Using the method of variation of parameters for finding the particular solution.

Q: Write down the solution of the differential equation: x² y" -4 y' + 4y = In x

A: Consider the expression lnx as t. Differentiate the equation t=lnx and simplify to obtain the…

Q: Example 7: Form the partial differential equation by eliminating the constants from 2= axe" +a* e…

A: In this question , we can form the partial differential equation by elimination the constants by…

Q: (a) Give two reasons why it is important to study analytical techniques for solving partial…

A: We shall solve first question only as per the company guidelines. For others kindly 1 post again by…

Q: Take a problem statement of your own choice and make its mathematical form as a partial differential…

A: Take a problem statement of your own choice and make its mathematical form as a partial differential…