ydy + (xy² – x) dx = 0; when x = 0, y = -1

Q: Find the general solution of the differential equation y" + 2y' + 4y = e* sin 2x + æ?

A: the given equation is  y''+2y'+4=exsin2x+x2 Auxiliary equation corresponding to the equation is…

Q: What is the complementary solution y, for the differential equation y"- 4y= 12.x

A:

Q: Solve the given differential equation by separation of variables. dy – (y – 4)2 dx = 0

A: Given : dy - (y-4)2 dx = 0

Q: For the equation, y(x+y+1)dx + x(x+3y+2)dy = 0, what is the solution to the differential equation?

A:

Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: Find the general solution of the differential equation y′ − ey sin x = 0

A:

Q: y(4) + 2y" + y = (x – 1)?

A:

Q: i. Solve the differential equation (x + dx-y = (x+2)², given that when x = 0, y = -4.

A: This is first order ordinary non homogeneous differential equation.

Q: Solve the given differential equation by separation of variables. dy = 6y xdx dx

A:

Q: Find the general solution to the differential equation y''+5y'+6y=et

A:

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

A:

Q: What is SN of the differential equation (2y2 + 3xy – 2y + 6x ) dx + x (x +2y- 1) dy 0 ?

A:

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is e…

A: First we have to find homogeneous part of the differential equation.

Q: Find the general solution of the differential equation. dy/dx= x-6/y^3

A:

Q: What is the order of the differential equation which has a general solution given by y = Ae" + Be2 +…

A:

Q: What is the general solution ti the differential equation (x-4y-9)dx+(4x+y-2)dy=0 ?

A: Given: x-4y-9dx+4x+y-2dy=0

Q: Find the General Solution of this Differential Equation 2. dy/dx - y/x = y°

A:

Q: What is the complementary solution y, for the differential equation y"- 4y=12x A y,=c,cos 2x + c,sin…

A:

Q: dy/dx + (sec x)y = 7

A: Given: dydx+secxy=7 We know that solution of differential equationdydx+fxy=gx is given by…

Q: What is the value of m in the equation m+) dx + (G+:) dy = 0 to complete the differential equation?…

A:

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

A:

Q: Solve the given differential equation by separation of variables.dy − (y − 8)2 dx = 0

A: The differential equation is given as:dy − (y − 8)2 dx = 0For finding the variable first we must put…

Q: Find the general solution for the differential equation.   dy/dx+2xy=6x

A:

Q: 4. Find the general solution of the differential equation given by y' – xyʻ +x = 0, where yf = dy/dx…

A:

Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

Q: Solve for the particular solution of the differential equation 2xy dy/dx = x 2 + y2 with the given…

A:

Q: Find the general solution of the differential equation dy/dx = 6 − y

A:

Q: Solve the differential equation dy/dx = (1 + y) ex , y 7 -1.

A: Consider the following differential equation: dydx=1+yex11+ydy=exdx Integrate both sides of above…

Q: dy Solve the differential equation Inx 1-y' by variable separable method dx

A: We have to find solution

Q: The auxiliary equation for the differential equation xy" + 3xy'+y= 6 is

A:

Q: Solve the differential equation: dy ye*+y dx x2 + 4

A:

Q: Find the general solution for the differential equation dy/dx=y2(1+ex)

A: the given differential equation is: we have to find the general solution for the given differential…

Q: What is the order of the differential equation? dy = 2x +3 dx 1 4

A:

Q: Find the general solution of the differential equation dy/dx = x + 3

A: the differential equation given to us is  dydx=x+3 we will use variable separable in which dx  will…

Q: What is the solution of the differential equation of ry da + (x² + y²) dy = 0 ?

A:

Q: Find the general solution of the differential equation yy′ = −8 cos( x)

A: Given: yy'=-8cosx for finding solution of given differential equation, we use variable separable…

Q: 1. y(1+xy)dx – xdy = 0 %3D -

A:

Q: solve the given differential equation by seperation oF values. dy y xy+4y-* -9 dx xy-Sy tx-5

A:

Q: 5. y sec?xdx - (1 – 2y?tanx)dy = 0

A:

Q: Find the general solution of the differential equation. dy/ dx= x2(√x − 3)

A: ∫xndx=xn+1n+1+C

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

A: Given that a non homogeneous differential equations and we solve by using general property of…

Q: What is the general solution of the differential equation given below? y" + 3y' + 2y = xe¯x

A:

Q: what is the particular solution to the differential equation dy/dx=2cos(x)(y+1) with the initial…

A: We will integrate using the separation of variables method. Then we will evaluate the constant using…

Q: Find the general solution to the differential equation y" + 49y = cos (2x). %3D

A: Consider the given differential equation y''+49y=cos2x. The characteristic equation is m2+49=0. That…

Q: dy +y = y² sin x dx

A:

Q: Find the general solution of the differential equation dy/dx = (x − 1)/y3

A:

Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

A:

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method