Q4) Find the current i(t) for the series RC circuit if the applied voltage is E(t) = 3e¬t given that R = 40, C = 1F, and q(0) = 0.

Q: Find the orthogonal trajectories of y CpXx 1 + x

A: Solution:We have to find the orthogonal trajectories of

Q: Calculate a solution of r- = y? y that passes through the point ) What is the value of the constant…

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Q: dy 2ry = 1+ y? , y(2) = 3 da

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Q: Determne the Laplace tranifom SinbtE

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Q: "s" is what kind of number?

A:

Q: Find the general solution to a?y" + 5xy' - 2y = 0. OA. y = cje 4x + cze OB. y = c1x4 + c2x1 OC. y =…

A: Given differential equation is x2y''+5xy'−2y=0....1 The given differentia equation is in the form of…

Q: Problem 4 (Non-homogeneous Equations Redux). By now we are very procedure for solving a linear,…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Subject: Differential Equations y" – 3y' + 2y = 2x? (D2 – 5D + 4)y = 4x 1. 2.

A:

Q: Consider the equation x' (t) = 3 t2 e¬4 x(t). a) What type of equation is this? b) How many constant…

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Q: Differential equations Find the particular solution to the given system of equations. Please refer…

A: Obtain the Eigen values for the matrix as follows.

Q: Determine the nature, index and signature of 3x +5x; + 3x – 2x,x, + 2x,x, - 2x,x,

A: The quadratic form is given as 3x12+5x22+3x32-2x2x3+2x3x1-2x1x2 Firstly obtain a matrix…

Q: Problem 4 (Non-homogeneous Equations Redux). By now we are very procedure for solving a linear,…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Subject: Differential Equations 1. y" – 2y' +y = x³ +1

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Q: State the linearity and order of the differential equation t -()"+ 0. de

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Q: Determine the Laplace transform S)०ठी ह

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Q: “些。 de e +1 dr

A: Here we will use separation of variable method.

Q: Research work : Power series of Ordinary Differential Equations

A: Introduction: The majority of ordinary differential equations are tedious and complex, and they…

Q: The integrating factor of the given DE are already given below. What is the value "n" 3y(y2-x-1)dx +…

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Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: (DIFFERENTIAL EQUATIONS) IDENTIFY THE FOLLOWING  1) A differential equation where the unknown…

A: 1) A differential equation where the unknown function depends on only one independent variable is…

Q: F(s) means Your answer

A: Using the definition of Laplace transform.

Q: Gy" dx -x(2x? +y)dy-0

A: First make it as in the  form of bernouilli equation  then  simple find the integrating factor then…

Q: dy The first order differential equation = yx +y+x + 1 is not separable. State if the statement is…

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Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

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Q: Assignment Chapter 5 Solve the differential equations 1- (1-x²)y' + 2xy – (1- x*) = 0 2- y" + 4y' +…

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Q: 3/" + p(t)y' + q(t)y = f(t), y(to) = y0, y'(to) = vo- (1) %3D %3D • First find the general solution…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: y = Ce?* +10 Find the orthogonal trajectories of the family of curves

A: an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves…

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.