3. Determine the solution of the differential equation +-y x3 given that y (1)-A dx + R

Q: 2. Show that y = e-6t satisfies the differential equation y" – y – 42y = 0.

A: We have to verify that y''-y'-42y=0 when y=e-6t. We know that d2ydt2=y''dydt=y'de-atdt=-ae-at So…

Q: What is the general solution to the differential equation (6x-3y+2)dx+(y-2x+1)dy=0

A: Here we use the substitution method for finding the general solution let us substitute v=y-2x

Q: (3) Show that the solution of the differential equation fip + y = -2r"y' is ´d.r r'y"(2r* + c) = 1.

A:

Q: 9 Find the general solution to the differential equation y' where x > 0. y = +C

A:

Q: Find the general solution for differential equation.

A:

Q: 2 (y+ 1) da- ydy = 0

A: Explanation of the answer is as follows

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

A:

Q: 3. Find the general solution of the differential equation d²y +y = e2x + sinx + 2. dx2

A:

Q: 4. Find the general solution to the differential equation y²y" = y/ (where y' = )

A: To find solution of the differential equation: y2y''=y'

Q: 4. The degree of the differential equation (y")³ + y' – cos y = x is

A:

Q: 3. Find the complete solution of the differential equation (4x + xy2) – (y – x?y)y' = 0 using…

A:

Q: 18.Find the general solution of the differential equation %3D xp xy-y2

A: To solve the given differential equation, first we convert it into separable form, and then we find…

Q: ( 3x - y +1) dx - ( 9x - 3y – 3 ) dy = 0

A:

Q: Find the general solution of the first-order linear differential equation y′ + 2xy = 10x for x >…

A: Given y'+2xy=10x

Q: y' = 5y + e-2*y-2

A:

Q: Find the general solution of the first-order linear differential equation. xy - y = x? – 4x

A:

Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

A:

Q: Find the general solution of the first-order linear differential equation for x > 0. (Use C for any…

A:

Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: Find the general solution of differential equation dy/dx = (y^2x + x^3)/(x^3-x^2y)

A: We need to solve dydx=y2x+x3x3-x2y. So,              dydx=y2x+x3x3-x2ySubstitute  dydx with y'.⇒y'…

Q: Determine the particular solution of the given differential equation y(x2 + y2) dx + x(3x2 - 5y2)…

A:

Q: What is the general solution to the differential equation (x-4y-3)dx-(x-6y-5)dy=0

A: Our Aim is to find the general solution to the differential equation given…

Q: What is the general solution to the differential equation (x+y-1)dx+(3x+4y-2)dy=0

A: Differential can be solved by different method  By variable separable By homogenous method  By…

Q: (3x+y-5)dx+ (3x+2y-7)dy = 0

A: Given: 3x+y-5dx +3x+2y-7dy = 0 dydx= -3x+y-53x+2y-7

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0…

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: 1. Obtain the differential equation associated with y=Ax2+Bx+C

A:

Q: Obtain the general solution of the given differential equation. (2xy + y) dx + (x²- x) dy = 0

A: To find: The general solution of differential equation. Formula used: Separate the variables:…

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

A:

Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

A:

Q: (5) Find the general solution for the differential equation (x² – 2xy – y²)dx – (x + y)²dy = 0.

A: It is a first order non linear ordinary differential equations and also it is a exact equation…

Q: b) Determine the general solution of the differential equation dy y 6xe7x. dx

A:

Q: 2) find the complete solution of the differential equation x dy +Jx²-y*dx = ydt

A: given xdy+x2-y2dx=ydxxdy=(y-x2-y2)dxdydx=(y-x2-y2x)put…

Q: 3. In the differential equation (y -x -4r-1dy + 2y(x+y+2)dx = 0, 心

A:

Q: 4) Find the general solution of the differential equation xy" – (2x + 1)y + (x + 1)y = (x² +x –…

A:

Q: What is the general solution to the differential equation (x+y-1)dx+(2x+2y+1)dy=0

A: Given:              x+y-1dx+2x+2y+1dy=0 Rewrite as:             2x+2y+1dy=-x+y-1dxdydx=-x+y-12x+2y+1…

Q: I. Find the general solution of the given differential equation. 1. y' + 2xy = x3

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Obtain the general solution of the exact differential equation 2xydy+(x2+y2)dx=0

A:

Q: Find the indicated particular solution of the differential equation. dy dx + 7y= -2e - ⁹x; x = 0…

A: Topic = Differential equation

Q: x*y" - 2xy' +2y = In x |

A:

Q: x'y" +2xy-2y =x In x+3x

A: The given differential equation is                x3y'''+2xy'-2y=x2lnx+3x The differential equation…

Q: 3 Find the particular solution of the differential equation dy (x+2)= y+2 dx y(0) = 1

A: To Determine :-  The particular solution of the differential equation x+2 dydx = y + 2            y0…

Q: 5 Find the general solution to the differential equation y - where x > 0. y = +C

A:

Q: The differential equation y'=xy² is subject to the initial condition y(2) = 1. Find the value of…

A: Given,         The differential equation y'=xy2 is subject to the initial condition y2=1.

Q: 4. In the differential equation (y -x -4x-1)dy + 2y(x+ y+2)dx = 0, MN

A:

Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

A:

Q: 2. Determine the general solution of the given Differential Equation (x2 – xy + y?)dx – xydy = 0 - -

A:

Q: Find a general solution of the homogeneous differential equation y'= (2xy)/(x^2-y^2)

A: Homogeneous differential equation :   A differential equation of the form dydx=f(x,y)g(x,y) is said…