What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary s2-s+3 Differential Equation Y(s) comes out to be Y(s) = ? (s+1)(s+2)(s+3) a) 글et + 블e b) 글et+ -3t -2t Зе 9. -2t e 3e-3t -t 3 -2t 3e-3t | 92t d) Fet + et – 3e3t Select one: O a. a O b. b O c.d O d.c

Q: What are the roots of the characteristic equation of the constant coefficient differential equation…

A:

Q: Q3. Solve in terms of Bessel's function, the ODE x²y" + xy' + ((lnx)² + ¹) y = 0 1²)y=0_z=lnx.

A:

Q: Show that the transformation 2 = ln x transforms the differential equation 2 x ²³y" + Axy' + By=0…

A:

Q: Solve the Bessel equation x^2y''+2xy'+(x^2-4)y=0

A:

Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

A:

Q: First, use the substitution y₁(x) = e-5x. Y₂(x) = u(x)y₁(x) u(x)e-5x = Then, use the product rule to…

A:

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: What is the solution to Bessel's differential equation of order n when the independent variable is…

A: Bessel's differential equation of order n is a second-order linear ordinary differential equation…

Q: Given that y1 (x) = t* is a known solution of the linear differential equation ²y" – 7ty + 16y = 0,…

A:

Q: Chapter 4] If f(x) = dt, where g(x) = 1," (÷) V1+t3 [1 + sin(t²)] dt, find f'

A:

Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Sketch a slope field for the differential equation dy/dx= x^2-2x at the indicated points.

A:

Q: Transform the differential equation 2y′′−y′+4y=e^(mt) y(0) = 2  y'(0)= 5 a )into an algebraic…

A:

Q: 55. Let A(t) be the area of a tissue culture at time I and let M be the final area of the tissue…

A: As your demand we solve part b.Given that Let A(t) be the area of a tissue culture at time t and let…

Q: (x+1)(1-x) 9. y = (x+2)2 10. y = (2x2 - 1)(3x + 2)³

A: Given  y=x+11-xx+22

Q: The math problem is (3xy^2-2y^3+3)dx = (-x^3+6xy^2-2y)dy  I believe this is a Exact Differential…

A: We have to show that given differential equation is either exact or not.

Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

A:

Q: 04:- Use the Chain rule to find the derivative ) of z = 3x2 - 2 xy y and If x=x (u, v) = 3u + 2v and…

A: Please refer to the image below.

Q: What are the roots of the characteristic polynomial for the differential equation y" + 4y' – 5y = 0?

A: Given differential equation:-   y" + 4y' -5y = 0

Q: dy/dt = y(1-y) y1(0) = 9, y2(0) = -1 What do y1 and y2 mean? The first and second derivatives?

A:

Q: - If g(x) 1 dt , find g'(2). 4 +t

A:

Q: 25/ Solve the following second differential equations B) y" - y'- 3y = tanx (use variation method)

A:

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

A:

Q: if) = e3² +4j sec²U² + 5j) Find the derivative of these 2 problem. 5s3+4 a(s) = In 3s2+2s.

A: To find the derivative of the given functions.