y"(x) + y'(x) + y(x) = 0

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: Find the differential equation (Family of Curves): Strophoids : y2=x2((c-x)/(c+x))

A: If a equation consists of n arbitrary constants then the differential equation of the given relation…

Q: Find the differential dy of y=√x. Show complete solution

A:

Q: Find general solutions of the differential equation    (x+y)/y'=x-y

A:

Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

A:

Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

A:

Q: 2x+ ((y)/(1+x^2y^2)dx = (2y-(x)/(1+(xy)^2)dy Differential equation

A: Solution

Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

A:

Q: 2. Use the method of equation Uariation of parameters to solve the differential dy - k- dx² dx xez…

A:

Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

A:

Q: y' + (2 tan x)y = - cos'x

A:

Q: 4.x+xy? y-x²y ,2 dy dx

A:

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

A:

Q: Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: ① Solveing dy - - x dx = 。 ㅎ

A:

Q: y In(x) ln(y)dx + dy

A:

Q: 1. (2x + y – 1)dy + (4x + 2y – 3)dx = 0; when x = 1, y = 2

A:

Q: Solve differential equation dy -(x²+y) = dx x+siny

A: To solve the given differential equation: dydx=-(x2+y)x+sin(y)

Q: The differential equation regarding the family of curve y = e 500x 1S

A: This question is based on diffrential equation.

Q: a differential equation is classified as a homogeneous DE if one can directly isolate all functions…

A: A differential equation is classified as a homogeneous DE if one can directly isolate all functions…

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

A:

Q: Find the differential equation of the family of cissoids: y^2 = x^3/ (a-x)

A: Perform the differentiation and eliminate the constant term in the differential equation to obtain…

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy' + 5y = 4x…

A:

Q: (2xy-tan(y))dx-(sin(y)ln(5x+15)-y^(-1))dy=0 using Exact Differential Equation

A: Given,Differential equation,2xy-tan(y)dx-sin(y) ln(5x+15)-y-1dy=0To find: General solution of the…

Q: 2ydx+x(x² In y-1)dy=0

A:

Q: 4- cosh x2 dy + (sinh x)y = e-* dx

A:

Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -

A:

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

A:

Q: What is the solution of the partial differential equation X

A: x∂z∂x+y∂z∂x=z is first order partial differential equation. For solution we use Lagrange's method…

Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

A:

Q: equation

A:

Q: . Give an example of a nonlinear differential equation of the formy = f (y).

A: Solution: Nonlinear Differential Equation: A nonlinear differential equation is a differential…

Q: 3y'+y=(1-2x)y4 by Bernoulli's method differential equation

A: 1[cex-(2x-3)]1/3

Q: a. Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: Write general equation first of given conditions.

Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

A:

Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

A:

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

A:

Q: Evaluate the integrals

A: Given integral is:

Q: 1 Solve for the differential of y when y=sinx, x=÷, and dx=-

A: Solution. A is true.

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

A:

Q: (2xy +y Jdx + Cx*- x)dy-e 3

A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION