1. Solve the diffusion equation on half-line and express the answer in terms of the error function: u₁ = kuxx, x≥0 u(0,t) = 1, u(x, 0): Jo, 0≤x≤1 == 1, x 1

Q: onsider the following differential equation: dy 2y + 5x dx hich of the following is a solution to…

A: here option (B) is true because the using the ist order linear diffrential equation

Q: Determine the equation of the family of curves as described then find the differential equation by…

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Q: 2b. y' - ху'+ у %30 A. y = x? В. у 3Dх C. y =1-x D. y = 2x? –1 E. y = 0

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Q: Which of the following is true about the differential equation below? dy dt + 11ty=-3e" It is…

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Q: The half-life of radium-226 is 1590 years. A sample has a mass of 100 mg. Find the mass after 1000…

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Q: Function Differential equati« y- 3 Cu2X J--Cnk5 goze-2e オ-d-e

A: We have to solve given problem:

Q: We studied the Lotka-Volterra model for predators and preys in class. There are systems of…

A: As per the norms, we will be answering the first three subparts. If you need an answer to others,…

Q: Write T for True or F for False by each question la lj. (d) – cos 2t + v3 sin 2t = 2 cos(2t – 27/3)…

A: Consider the provided question, (d) Given,  -cos2t+3sin2t=2cos2t-2π3 R.H.S=2cos2t-2π3Use formula,…

Q: b. Determine whether the statement is true or false and justify your answer. Determine which of the…

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Q: 2. Circles tangent to the x-axis.

A: General equation of circle with radius "r" and center at (c, d) is x-c2 +y-d2 = r2 Here, c, d, r are…

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

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Q: X"+Xx =0 , when =0 then it becomes x"-0 NOW x" = 0 う 4CXり d(X') = 0.dx Step 2 INtegrating We have +…

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Q: 1) A mathematical (differential equation) representation for a metapopulation can be written as…

A: A. Describe how you would change this phrase. The phrase "colonization process" would be changed to…

Q: (c) Draw the phase portrait of this system.

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Q: ly's ty? ay&trinco в. (2+) +2 co с у&+c)12-o d.ysr+c)-n.co С

A: Since you have posted a multiple question according to guildlines I will solve first (Q1)question…

Q: Thank You very Much I am getting the solutions Because of your effort in making it step by step. I…

A: Thank you so much for appreciate our work.  Also we trying to our best  to understanding education…

Q: This is a Dynamics question using differential equations. Step A is 36 m/s. I need help with step b

A: Step 1:

Q: Given, (+) dæ + ) dy =iß an exact differential equation. Determine the value of A.

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Q: Question 1.9 Please solve the following and write your answers in the blanks provided: 9 [7] -3…

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Q: 3. At 2:00 pm a thermometer reading 80° F is taken outside where the air temperature is 20 ° F. At…

A: Let Tt be the temperature of thermometer at any time t. So, by Newton's law of cooling,…

Q: Find the general solution of the differential equation ay dy – (x* + y')dx 0.

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Q: For this task you need to choose two different engineering problems that are solved using first…

A: We need to choose two different engineering problems that are solved using first order differential…

Q: Find the general solution of the following differential equation. 4ryy + 2ry + =D0

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Q: why kw''=0. Can you please explain it to me. Thank you

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Q: 1. Solve for the differential of the following given the values of the variables and their…

A: xtan-1z-y2zx=y=z=1,∆x=-0.1, ∆y=0.2, ∆z=0.05First,partially differentiate given function

Q: Solve the following first order linear differential equations: 5x5y5-1y' + (5 - 5x)x5-1y5 = e5x lnx

A: Bernoulli's differential equation

Q: We are given this situation to model using a differential equation: Snow is falling at a constant…

A: An autonomous differential equation is an equation of the formdydt=f(y)." data-mce-style="margin:…