Solve the following equation using implicit differentation.  x4 +4x3y2 - y4 = 1

Q: Solve the following : x2 + y2 + 3y =22 2x + y =-1

A: To solve the given equations.

Q: Solve the following y" - 3y' + 2y = 2x2 + ex + 2xex + 4e3x -

A:

Q: FIND THE GENERAL EQUATION OF THE FOLLOWING SOLUTION: y" = 12 %3D A.

A: A) The differential equation is given as y''' = 12 On integrating both sides , we get ∫y''' = ∫12y''…

Q: Solve the following IVP. 4y" + 4y' + 17y = 0 y(0) =-1; y'(0) = 2

A:

Q: y(0) = 0. %3D X-1

A:

Q: Solve the following equation for t. 14 - 21| + 5 = 12 %3D

A:

Q: Solve the following equation for x. 3x + 4 (-r + 5) = 23 – 4x %3D

A:

Q: Solve the following Homogenous LDE: (D2+4D-5)y=0

A:

Q: The general solution of y' = Y can be written in the form = C

A:

Q: Solve the following IVP: y'+ 3y = 2xe^(−2x) , y(0) = 3

A: See the attachment

Q: Solve the following equation iz + 2i = 4

A:

Q: Obtain the solution of the following equations. 1. (1 – x)y' = y2

A:

Q: Solve the following equation by variation of parameters ? y" - y' = 2x

A: Given: Differential equation  y" - y' = 2x Concept and Formulae Used: Variation of parameters…

Q: Solve the equation x*ydx +(y-x² )dy = 0.

A:

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y" - 8y=0

A: We have to solve given problem:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = -3

A: The given differential equation is y''-3y'-10y=-3. The auxiliary equation of homogenous part of the…

Q: Solve  2x + 3y = 11 and  2x -  4y = - 25 And hence find the value of m for which y = mx + 3

A: The set of equations is given as, 2x+3y=11…………(i)2x-4y=-25………(ii) Apply Elimination Method, Subtract…

Q: Solve the following equations 65. y” + 10y + 25y = xe-5x +4

A:

Q: Q4:-Solve the following equations (choose tow only):- 1: x*y - 2xy +2y = 2xe* %3D

A:

Q: a) Solve y" thy=2e?+xsin2x

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Solve the following first-order equations: d = 4x/y, with y(0) = 1 a.

A: Using variable separable form. According to Bartleby rule I am supposed to solve only first example.…

Q: Solve the following equations for x and y   a. 2x+9Y=-13 2x-3Y=23   b. 8X+9y=129 6x+7Y=99…

A:

Q: Solve the following equation for r. V2 73- 4

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = 2x - 3

A: The solution equation is obtained by the equation y=yc+yp Take the characteristic equation of the…

Q: Solve the following Clairaut equation   y=xy'+(y')^2

A: Firstly we will differentiate this equation to get simpler differential equation

Q: Eliminate the arbitrary constant on the given equation: y = C1e-2x + Cze2x

A:

Q: x²y – xy² + y² = 7

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = 2x + 3ex

A: The given differential equation is y''+y=2x+3ex. Its auxiliary equation is m2+1=0. Solve as follows.…

Q: Solve the equation x*ydx+(y-x² )dy = 0.

A:

Q: /Solve the following equation ?- 4t+ 6y = t³ +1 dt2

A:

Q: Solve the given diffential equation by undtermeined coefficients: y'' + y' - 6y = 12x

A:

Q: 4. y' + 4y = x?

A: Given information: y' +4y=x2

Q: Q1:-Solve the following equations(choose three only):- 1- 2- 21ya 3- x²y" + 3xy' + y = 0

A:

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

A:

Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Solve the following 3rd order equation: y'"+2y"-y'-2y=0

A: First find roots then general solution..

Q: y" if y = (x² +x + 1)? %3D

A: Given function is: y=x2+x+12 We have to find y".

Q: Solve the following IVP 3y"-3y'+2y=0, y(0)=2, y'(0)=0

A:

Q: Find the general solution of the following equation. y'(x) + 3y = - 9

A:

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

A:

Q: 2x (융) 1 y: x'; yel, X-1

A: Consider the given equation as x+6ydx-2xdy=0

Q: 4.x-1 = 3x B.

A: Given:- (4x-1)/x = 3x To find:- Solution of given equation

Q: Which of the following equations is true? x³y$x=4y=1 = x=1y+

A:

Q: Solve the following DE: 3x³y = 2y(y- 3) Oy-3= Cye-1/x² O 2y-1= Cye/x Oy+3= Cyel/x² O 2y-1= Cye-1/x²

A:

Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: Solve the following IVP 2 y' y(0) = –1 %3D x² + 1

A:

Q: Solve the following ODF y+y 2y 2 e2x

A: We have to solve the differential equation.