dy x² +xy+y² dx x2 ||

Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy =…

A:

Q: The complementary solution to the differential equation dy dz + (2æ + 1)y = e is of the form Yc =…

A: To find the complementary solution of differential equation . put RHS = 0

Q: Soru 1: d²y ²+1 dy +6+9y = e* dx xe(0,+0)a -3x dx?

A:

Q: 3. Find all solutions of the given differential equation. dy xy dx x² + 1

A: Given dydx=xyx2+1

Q: The general solution of the differential equation d’y dy dx 2 -X-+Y3D2(nx dx

A:

Q: dy x2 + 2y = x'(x²y)* dx

A:

Q: Find the general solution to the differential equation (1+x^2) dy/dx +xy = 0

A:

Q: The solution of the differential equation below is dy 3y +4x = 0 dx

A: Let's find.

Q: Solve the non-homogeneous differential equation dy x + y + 3 3x + 3y + 7 dx

A: We will use concept of solving non homogenous differential equation. Variable separable form will be…

Q: A particular solution of the differential equation y''+2y'+y=e^x is:

A: A particular solution of the differential equation y''+2y'+y=e^x is:

Q: (x + y - 4)dx - (3x - y - 4)dy = 0; when x = 4, y = 1

A:

Q: x² – y² – xy= 0 dx %3D ху dy

A:

Q: Find the solution of the given homogenoeus differential equation. (x + 2y)dx + (2x +y) dy = 0

A:

Q: The general solution of the differential equation using exact or non – exact dy/dx + y/x = 1 is, O…

A: Given that :dy/dx +y/x = 1  Find the general solution of this differential equations. Here i…

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

A:

Q: Find the general solution of the given differential equation. x dy/dx + 3y = x3 − x

A:

Q: Find the solution of the differential equation (1+x* )y'+2.xy – 4x°y° = 0 (Bernoulli) %3D

A: We will find out the required general solution .

Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

A:

Q: Find the solution to the differential equation below 1 satisfying the initial condition y(1) - 53 dy…

A: Given,            dydx=6y2x

Q: Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

A:

Q: Find the general solution of the given differential equation (2y − x)dy + (4y + x − 6)dx = 0

A: Given differential equation, 2y-xdy+4y+x-6dx=0 Find the general solution of this differential…

Q: The general solution of the differential equation d'x ,dx -4 +5x = 0 is ? .2 dt? dt

A:

Q: Find the solution of the differential equation.  (y^2)dx + (x^2 - xy - y^2)dy = 0

A:

Q: 1. Find the general solution of the differential equation cos x 1. dy 2 y2-4 dx 2y

A: Solve differential equation by seperation of variable:-

Q: Find the solution to the first order differential equation below: e^(2y) dx + 2( x e^(2y) - y) dy =0

A: The differential equation is given as e2y dx +2xe2y-ydy = 0 Compare it with M dx + N dy = 0 Here M =…

Q: Solve the differential equations x dy/dx + y = ex, x > 0

A:

Q: Obtain the general solution of the given differential equation: x2dx+y(1-x)dy=0

A: Given that: x2dx+y(1-x)dy=0

Q: Solve the Bernoulli differential equation dy 2 y3 +-y dx X x3

A:

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: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

A:

Q: Find the general solution of the given differential equation. (x + 1) dy + (x + 2)y = 2xe-x dx 11

A:

Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et;…

Q: Find the general solution to the differential equation dy x3 dx x² – 1

A:

Q: The solution to the differential equation (x² – xy + y²)dx – xydy = 0, when x = y = 2 may be…

A:

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

A: The given differential equation is: (x-y)dx+(3x+y)dy=0...(1)

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: (x + 2y – 1)dx + (3x + 6y)dy = 0.

A:

Q: Find the solution of the differential equation. y dy + (y^2 - x) dx = 0

A: on solving this we get

Q: Find the general solution of the given differential equation. x²y' + xy = 2 y(x)%3D

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: Determine the general solution of the given Differential Equation 3x (xy – 2)dx + (x³ + 2y)dy = 0

A: Proceed as shown below...

Q: The solution of the differential equation dy x+x+2xy %3D dx x2+1

A:

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

A: Solving

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x?) dy = 0 is

A: Here we have to find general solution of given differential equation

Q: dy 13. :- xy = x, y(0) = 3 dx

A: The given differential equation is dydx-xy=x where y0=3. Rewrite dydx-xy=x in separable form as…

Q: Find the general solution to the differential equation (7x+5y)dx + (5x - 8y³)dy = 0

A:

Q: Solve the differential equation v(x) = dy dx 3y x > 0.

A:

Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation