Which of the following are solutions to the given differential equation? xy " +y = 0 y = In a4 ælna y = e* y = In x + x y = e" + x O y = In x

Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

A:

Q: Q1/ Solve the following differential equation then check the result dy +² - x² = 2xy -- dx Ans./y =…

A: Given problem:-

Q: Find the general solution of the differential equation below and check the result by…

A: given differential equation

Q: dy +y: da 20

A: The value of n is -2

Q: Determine the order and degree of the differential equation 1. = 5xy +1 2. d 2dy 1 dx

A: GIVEN : 1) dydx = 5xy +1               2) dd2ydx2 + 2dydx = 1

Q: (Dª – D³ – 3D² + D + 2)y = 0

A: Explanation of the answer is as follows

Q: The differential equation formed by eliminating arbitrary constants a and 6: y = ax + bx+9 is

A: Given that

Q: What is the order of the differential equation x²dy/dx - 2xy"=0?? A 1 B 3 с 2 D 4

A: Order of a differential equation is the highest order derivative present in the equation.

Q: Check to see if the function y xe2x is a solution to the differential equation: %3D xy'- xy = e2x

A:

Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

A:

Q: which of the following is nor a solution equation y" +y = 0 differential equation a. y = 2 COSY b.…

A:

Q: y = Ae + Bxe* %3D

A: given  y=Aex+Bxex we have to form the differential equation .

Q: Given the differential equation -(승) (중), y" Find two values of r such that y = x' is a solution of…

A: The given differential equation is y''-6xy'-8x2y=0. Let y=xr. This gives  y'=rxr-1     and…

Q: Integrate the differential equation in which A is being made at a rate k1and destroyed…

A:

Q: How do you solve this differential equation

A: Given, ddttdytdt = 9t2  We have to solve the differential equation.