What is the inverse Laplace transform of the function: S-3 s²-2s+10 O O 5 2e cos3t+-e'sin3t e'sin 31 3 O -t 2e cos3t- - 5 -e¹sin3t 3 1 -t 2e cos3t+-esin3t 3 2 e' cos3t--e' sin3t 3

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

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

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

A:

Q: 2. Solve the differential equation: a. y' = xe-sinx – y cos x

A: We will solve the problem

Q: 1. Consider the differential equation (which we saw on the wk 1 test) dy %3D У (у + 1)?(2 —у) dt…

A:

Q: dr ᎾᏢ sin 0 - r- cos e eo +- cos = 0

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

A:

Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

Q: solution of differential equations in terms of bessel function

A:

Q: Determine the general solution of the Differential Equation 2 = y? – (2x – 1)y + x² – x + 1 if y = x…

A:

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

A:

Q: . Exercise 1.3 Solve 1. (x+2)²y" + (x+2)y -y=0

A:

Q: ordinary differential equations numericall

A:

Q: 3) * + 4x = 4(sec 2t)²

A:

Q: dy √1-y² dx Hint: Separation of variables

A:

Q: (D3-D²)y =0

A:

Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

A: We have to determine that whether the function,  f(t) = et10 is of exponential order or not.

Q: Identify if it is function or relation

A: This question is related to Functions and relations, we will solve it using given information.

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: Karla is an industrial engineer working with a chemical producer studying a process involving how a…

A: As per the guidelines, If the question has multiple subparts then we have to solve only the first…

Q: y = Ce- 2 + C2e3

A: Given equation is y=C1e−2x+C2e3x......1. We have to eliminate the arbitrary constants. Differentiate…

Q: dy dr + y = x

A: We are asked to find the degree of the differential equation.

Q: (D³ + 1)y = xe2x 1.

A:

Q: Differential Equations - I will thumbs up thank you Please show work and add English annotations /…

A: Given that, a100 gallon spherical container holds a 10% sugar-milk mixture. The container initially…

Q: Solve en

A:

Q: method , write also wonking Rules Defrie frobenius frobenius method frobenius is describe how use…

A: Frobenius Method  This  method helps us to calculate  fundamental system of solutions for a given…

Q: dy - xy y(2) =1 %3D 2. dx

A: Given the differential equation dydx=xy3