Question 12 If the differential equation is Exact, solve it. (12z y- 6z) dz + (4x + 2y- 3) dy = 0 O Not Exact O 4x'y - 3x² + y? - 3y =c O 42 3z2 +4x'y+ y? 3y = c O 3zy - 2x2 + 3y2-y= c O 4'y-3z2 + 4'y?-3y c

Q: 2 |sin x dy = 0 y Solve cos xdx +|1+-

A:

Q: (2xy – tan y)dx + (x² – x sec² y)dy = 0

A:

Q: Kindly use Exact Differential equation to solve this. (y3 - y2sinx - x)dx + (3xy2  + 2ycosx)dy = 0

A:

Q: Question 13. A rabbit weighs 4 pounds at birth and 7 pounds two months later. The rabbit gains…

A:

Q: 15. y" – 4 y' – 32 y = 6 e-3!

A:

Q: A differential equation is in the form of x"A(y)dy+ B(x,y)(xdy – ydx) = 0 Show that if the function…

A: given xnAydy+Bx,yxdy-ydx=0 to show- if Bx,y is homogenous , then we can solve any differential…

Q: For finding the separable equation of the differential equation, what do we do with the extra…

A:

Q: 1. Solve the differential equation d²y dx2 dy 4. + 13y = e2x dx For which y = 1 when x = 0 dx

A:

Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

A:

Q: 7 (2x + cosh xy) dx + [(xy cosh xy – sinh xy)/y²] dy = 0

A:

Q: passes

A:

Q: I. Determine whether the given differential equations are homogenous or not homogenous. If the…

A:

Q: 5. (y4 - 2xy) dx + 3x² dy = 0; when x = 2, y = 1.

A:

Q: just find the correct solution form for the particular solution to the differential equation if the…

A:

Q: the differential equation y''+ 9y = sin(3t) + 2 cos(3t), y(0) = 2, y'(0) = 1

A: Given y"+9y=Sin(3t)+2Cos (3t) --1y(0)=2 and y'(0)=1.Auxilliary equation associated to the…

Q: Question 3 equation xy" + 3xy' - 3y = 3x? – 2x. (a) Verify that y1 = x and y2 = x are solutions of x…

A:

Q: - sin 2r arctan(sin 1) (sin* y + cos' y) Solve the differential equation. sin y cos y

A:

Q: dy (b). 3x+2y y(-1) = –1. , dx 3x+2y+2 '

A:

Q: the given differential equation has a particular solution yp of the form given. Determine the…

A: 29.   Hello. Since you have posted multiple questions and not specified which question needs to be…

Q: 5- Question 6: Which can be one of the solution for the following differential equation? y" + y = x²…

A:

Q: One solution of the differential equation is given. Find the general solution. y^(3)-y''+9y'-145y=0

A:

Q: Problem 4. Consider the autonomous differential equation x' = sin x. a. Does the differential…

A: '

Q: The equation y" +e* y' + cosz = 0 is linear The differential equation y" – sinyy' + 4y = 0 is a…

A: Since you are asking multiple questions. We are answering only the first three subparts. We have to…

Q: Solve the differential equation. x (dy/dx)− 4y = 2x4ex   It would be helpful to know the steps since…

A: According to the given information, it is required to solve the differential equation.

Q: 2. (6х + у?)dx + У(2ху — Зу?)dy %3 о

A:

Q: х+2 у-1) dx- (2х+4 у-3) dy%3D0

A:

Q: Question 2 Describe a method for solving a separable differential equation. Is the equation…

A:

Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter…

A:

Q: Q-25 [ Show that the given differential equation is not exact hence solve it xʻydx – (x + y')dy = 0

A: Exact equation:  The necessary and sufficient condition that M dx +N dy =0  be exact  is ∂M∂y =∂N∂x…

Q: y dx--dy = 0 %3D dx +-dy = 0 %3D

A: Both differential equation can be written as exact form.

Q: Determine the Differential equations that you could solve using Separation of Variables, Homogenous…

A: Solve  differential equations - ( y3 + y +1) dx + x ( x - 3y2 - 1)dy = 0. Here i attached solution…

Q: 1. Show that this differential equation is separable by rewriting it so that the variables are…

A: Here we have to show that the given differential equation is seperable.

Q: Question 3 equation x²y" + 3xy – 3y = 3x2 – 2x³. (a) Verify that yi x and y2 x3 are solutions of xy"…

A:

Q: If the equation or figure doesn't show properly, just reload. Question 11 To solve the differential…

A:

Q: Module 4 Obtain the solution of the following differential equation. 1. y((x^2)+(y^2) - 1)dx +…

A: By inspection, solve by making exact form.

Q: Consider the differential equation y'(t) = t - 3y and the solution curve that passes through the…

A:

Q: Module 4 Obtain the solution of the following differential equation. 2. y((2x^2) - xy + 1)dx +…

A:

Q: y(x) = c + cze²2x + C3xe2 + e¬ [c4 cos(3x) + c5 sin(3x)] %3D

A:

Q: 11) Find the general solution to the differential equation. y' = eyx2

A:

Q: 3- Question 3: Which one is the correct solution for the following nonhomogeneous differential…

A:

Q: QUESTION 2 Consider a differential equation 3y" - y' - 2y = e*(1 + 2xsin2x). a) Find the…

A:

Q: 2. [x – y5 In(2y) x²]dy + ydx = 0

A:

Q: Some of the curves corresponding to different values of C in general solution of the differential…

A: The answer is found in step-2

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A:

Q: In the equation (ax+by+c)dx + (ex+fy+g)dx = 0, if b=e, then the equation is said to be exact…

A: A differential equation of the form Mdx+Ndy=0 is said to be exact differential equation if it…

Q: (xy) + 2y] dy 2y ycos (xy)| dx + 2xe2y xcos

A: We have to solve the given differential equation…

Q: One solution of the differential equation is given. Find the general solution. y)-y"-12y'-40y 0, y…

A:

Q: y" + 9y = e cos 3x + x2 + x³e*

A: