What is the difference between ODE and PDE, how to find the degree and order of a differential equation, two forces in term of partial differential operators are acting on surface of moulded tin body form the PDE by elimination of arbitrary constants “p" and “q" from the model function under the influence of forces. z = (x + p)²(y + q)² %3D

Q: 3. Second order non-homogeneous ordinary differential equation is given as: y" + y' – 2y = x² –x+e*…

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Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

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Q: 3y" – 6y' + 6y = eª sec x (variation of parameters)

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Q: A first-order differential equation is homogeneous if it can be written in the form dy =f () for x #…

A: Given first order differential equationdydk = fyx for x≠ 0

Q: 是 Suppose the differential equation = 2x²-1 where y(0) = 0. dx 8) Create a slope field the…

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Q: Bernoulli's Equation is the generalized form of linear differential equation which can be written in…

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Q: Find a general solution in terms of Bessel Functions for a uniform density chain fixed at one end…

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Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

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Q: Some sixth order homogeneous linear differential equation with constant coefficients has the…

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Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

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Q: A first order linear differential equation is one that can be put in the form +P(z)y=Q(z) where P…

A: xdydx-y=-2x7+12x4

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Q: The differential equation y + 3y = (y + 4x) y can be written in differential form: M(x, y) dx + N(x,…

A: Differential equation and solutions

Q: (a) Using a mass balance for salt on each tank, set up a system of differential equations to…

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: Example: Show that the functions: x=- - sinh and y: sinh- V3 3 dy dx dy ii ) dt dx Taken together…

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Q: Two cylindrical water tanks are vertically conected to each otner. ly, the bottom tank contain 100…

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Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x.…

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: By taking the Laplace transform of the differential equation initial condition is x (0)=0. If you…

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Q: Use the qualitative theory of autonomous differential equations to sketch the graph of the…

A: Using dlope field to draw the solution curves depending on the initial conditions.

Q: Suppose that the characteristic equation for a differential equation is (г — 5)2(r — 2)? — 0. Find…

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Q: 2. (a) Find particular integral of the partial differential equation ysin(x). (b) Find general…

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Q: Two cylindrical water tanks are vertically connected to each other. Initially, the top and bottom…

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Q: The general solution of the differential equation xdy = ydx by using variable separable %3D methodis…

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Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t…

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Q: A differential equation and its slope field are given. Complete the table by determining the slopes…

A: dydx=y-x When x=-4, y=2, dydx=2--4=6 When x=-2, y=0, dydx=0--2=2 When x=0, y=4, dydx=4-0=4 When x=2,…

Q: se the substitution u(x,t)=X(x)T(t) and separation of variables to solve the partial differential…

A: Given, the partial differential equation                          utt=ux…

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Q: Show that the differential equation ry'+x(1+y')y = 0 is not exact, but becomes exact when multiplied…

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Q: Consider the differential equation (DE) given by y" + 2y' + 2y = 2e¬2= + 2x. (a) Determine i) the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose y1 and y2 form a fundamental solution set for the differential equation y" + P(x)y' + Q(x)y…

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Q: I. Determine whether the given differential equations are homogenous or not homogenous. If the…

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Q: The Black-Scholes equation is an application of the parabolic partial differential equation (PDE)…

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Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

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

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Q: The kind of =y is: ax Ordinary Differential Equation(ODE) A Partial Differential Equation(PDE).B O…

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Q: Consider the differential equation (DE) given by y" + 2y + 2y = 2e¯2= + 2x. %3D (a) Determine i) the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.