3. Solve the given differential equation d?y dy – 3 y = x ² (In x ) dx 2 dr

Q: Solve the given differential equation d'y dy +2x- -12y= x' (In x) .2 dx dx

A:

Q: 4. Find the general solution of the differential equation: dy dy + 14y = x? dx %3D dx?

A: d2ydx2-9dydx+14y = x2 Auxillary equation is m2-9m + 14 = 0 m2-2m-7m+14=0 m(m-2)-7(m-2)=0 m=7,2

Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x5 + 3y) dx - 5…

A: Given: x5+3ydx-5xdy=0

Q: Find the solution of the following differential equation. 1. (e" + In y + ") dæ + ( + In x + sin y)…

A:

Q: d'y dy 4. +3y = e *x. dx -3x Solve the second order differential equation dx?

A:

Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

A:

Q: Find the general solution of the differential equation (D² + 2D + 5)y= 2 cos? x – 1

A:

Q: For what value of k does y = 4+ 5ek satisfy the differential equation: dy = 12 – 3y? dx k =

A: Satisfy given equation in differential equation

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1   (x5 + 3y) dx – 6…

A:

Q: (x + siny)dx + (xcosy – 2y)dy = 0

A: GIVEN: (x + siny) dx + (xcosy - 2y) dy = 0

Q: 10. Solve the following differential equations. dy dy a) + 2.xy² = 0 b) -- y = 2x°y, y(1) =1 %3D dx…

A:

Q: Solve the given differential equation by separation of variables. x(1 + y?)!/2 dx = y(1 + x?)/2 dy

A:

Q: 3. Solve the differential equation: dy 2x =x+3y, given that when x= 1, y=1. dx

A:

Q: Solve the differential equation given below. dy = 2(-2 – y) dx

A: Given equation; dy/dx = 2(-2 - y)

Q: Find the general solution of the given differential equation. d'y 4 dx dy dy 5- = 0 - dx dx

A: Given differential equation is d3ydx3−4d2ydx2−5dydx=0 We have to find the general solution of the…

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 5x + y) dx - xdy…

A:

Q: dy et-y + et + eY + 1 dx

A:

Q: I. Solve the following linear differential equation. 1. dy/dx + y/x = x 2. dy/dx + (x+1)y =x

A:

Q: Solve the separable differential equation. dy = 3x (y? + 1) dx

A:

Q: solve the given differential equation 7. dy /dx = y/ x

A: We have to solve the differential equation: dydx=yx Solving this equation by variable separable…

Q: solve the given differential equation 6. dy/dx=x^2(1+y^2)

A:

Q: 2. Solve the given differential equation by separation of variables. (e | 1)?e¬ dx | (e* | 1)³e-* dy…

A:

Q: (a) Solve the second order differential equation below: d?y dy - 7 +10y = 4e3x dx dx?

A:

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 ( 3y – x2 )dx + xdy…

A:

Q: Solve the given differential equation (x* + y*)dx = xy³dy.

A:

Q: solve the given differential equation 5. dy/dx=x−e−xy+eydydx=x−e−xy+ey

A: Given: dydx=x-e-xy+ey for finding solution of given differential equation, we use variable separable…

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 (x5 + 3y) dx – 2…

A: We have to solve for the value of “C” on the given differential equation below.  (x5 + 3y) dx – 2…

Q: Find the general solution of the following differential equation dy 3 V = 2 1 dx 1 y' = - sec2 y

A:

Q: Given : (e* + In y + 2)dx + Š + In x + sin y )dy = 0 Find the general solution for this differential…

A:

Q: (3) Solve the given differential equation (x* + y*)dx = xy®dy.

A:

Q: a) Find the general solution to the differential equation: dy X3 + 3x?y = 5sin x dx

A: as per guideline we have to solve one question  please repost other question again

Q: Solve the following separable differential equation: dy xy y(0) = 4. dx 1+ x2 '

A:

Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

A:

Q: Solve the given differential equation by separation of variables. 3x + 7) ´2y + 52 8x + 7. dy %3D dx

A:

Q: Solve the given differential equation by separation of variables. (e + 1)?e-Y dx + (e* + 1)Se-* dy =…

A: Given:- (ey +1)2 e-y dx +(ex +1)5 e-x dy=0 To find :- General equation of given differential…

Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: solve the given differential equation 5. dy/ dx =( x − (e ^(− x)) /(y + e^ y)

A: Solution:-  The given differential equation is  dydx=(x-e-x)(y+ey)

Q: Solve the differential equation. dy 1 s?Vy 2 Vy cos 9. %3D dx

A:

Q: Solve the seperable differential equation dy/dx=x^2/1−2y^2.

A: To solve the separable differential equation: dydx=x21-2y2...(1) To separate the given differential…

Q: Solve the given differential equation by separation of variables. dx y In(x) dy y + 1\2 %3D

A: Given : yln(x) dx/dy = ( y+1 / x )2

Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 (9x + y) dx - xdy =0

A:

Q: 3. Solve the given differential equation d'y dy +2x 12y= x' (ln x) dx? dx

A:

Q: 3. Solve the following differential equation: x(1+ y²) y (1+x?) dy dx

A: Use method of separation,

Q: dy/dx (x^2y^3 + xy) = 1 solve the bernoulli's differential equation

A: Make the given differential equation into the standard form of first order ordinary differential…