The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y (x). x²y" - xy + 26y = 0; y, = x sin(5 In(x)) Y2 =

Q: Verify that the given function y = sin (x2 + C ) is a solution of the given differential equation:…

A:

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

A:

Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

Q: (c) xy' = y(3– x)

A:

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

A:

Q: Find the differential equation of the following families of curves: y2(b+x)=x2(3b-x)

A: Given y2(b+x) = x2(3b-x)                 (1) Differentiate equation (1) with respect to x , we get…

Q: 1. (y+√xy)dx + xdy = 0

A:

Q: Consider the differential equation -3 y' - ycos²(x) = (a) Sketch the direction field for this…

A: The direction field is the collection of small line segments passing through various points that are…

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

A:

Q: nd the solution of the differential equation = Z 3 + sin(z) with i dz

A: Given: dfdz=z-23+sin(z)f(0)=2

Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

A:

Q: 1. Use the basic differential properties shown in section 3-5 to find each indicated derivative. (A)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: Given a linear map f: E→ F, the set Im f is a subspace of F and the set Ker f is a subspace of E.…

A:

Q: 1 (ysin x + y?) dх — + cosx – 2xy) dy = 0 - \y²+1

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential…

Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.