Given the differential equation 4ry + 6x) dr + (r³ – 6x²y² – 1) dy = 0 ,What is (3z y 6M by %3D -- O 6zy - 12zy O 6zy - 4y + 6 O3z 12zy

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

Q: A particular solution of the differential equation "+3y'+4y = 8x +2 is

A:

Q: 5. y" + 8y + 16y = 0

A:

Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

A:

Q: The solution of the differential equation y" + 3y+2.25y = -10e¬1.5x when solved using method of…

A: To uss variation of parameters to find the solution of the given differential equation

Q: 4. Find the general solution of the given differential equations. (a) y" – y" – y + y = 0; %3D - (b)…

A: Given: The differential equation are: (a) y'''-y''-y'+y=0 (b) y'''-3y''+3y'-y=0 We have to find the…

Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: Find the general solution to the non-homogeneous differential equation. y" + 5y' + 6y = 3x2

A:

Q: What is the general solution of the differential equation (y - 2ry + 6 ) dr (2 – 2ay + 2) dy? - O…

A:

Q: The general solution of the differential equation ²y" - 2y = Inx | %3D is

A:

Q: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0.

A:

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x a. None of…

A: Homogeneous Linear Differential Equation with Constant Coefficients: A homogeneous linear…

Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

A:

Q: The particular solution to the nonhomogeneous differential equation y" +4y' +5y 10x +3e-* %3D 2x -+*…

A: Given, differential  equation,      y" + 4y' + 5y =10x+ 3e-2 ⇒(D2+ 4D+5)y= 10x + 3e-x…

Q: The general solution of the differential equation x2y′′+xy′+(25x2−9)y=0x2y′′+xy′+(25x2−9)y=0 is?

A: The differential equation of the form  x2y''+xy'+x2-ν2y=0            i is referred to as Bessel's…

Q: Show that y = 3x et +e-3x is a solution of the differential equation y' + 3y = 3ex. 4 y = 2ex + e-3x…

A: Given the differential equation:

Q: dy - 4sin( 2x) and y=2 when *=. What is the particular solution to the given differential equation?…

A: Topic = Differential equation

Q: Determine the particular solution to the differential equation given by: 3x2+4x-4 y' = ... 2y-4 if…

A:

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

A:

Q: A particular solution of the differential equation y''+3y'+2y=4x+3 is:

A: Solving the differential equation

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: The solution of the differential equation + 25y 0 is dy Oy= Acos25x + Bsin25 O y (Ar + B)e 5 O y=…

A:

Q: Consider the differential equation Y+ 2y = 4x - 3e*, given that y(0) = 1 and y (0) = 2. What would…

A: Given, Y"+2y' =4x-3ex

Q: Find the general solution of the given second-order differential equation. 25y" - 15y' - 4y 0 %3D…

A: the roots of the auxillary equaation is m1 , m2then complementary function is ycx=c1em1x+c2em2x

Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

A:

Q: If we use the method of variation of parameters, the particular solution of the following…

A:

Q: It is known that y1 = e is a solution of the differential equation y' – 2e² + 4y – e²y² = 0. Find…

A: Note: The given differential equation is incorrect as the solution y1=e-x does not satisfy the…

Q: Given the differential equation (y² – 2xe") dz + (2xy – z²e") dy = 0 8M ? ,What is бу | 2y – 2ey…

A:

Q: Find the particular solution of the given differential equations. 5. x²(y+1)dx + y²(x - 1)dy = 0…

A: Using Method  of Variable Separable.

Q: If yy of a differential equation is ce2x + Cze3x + cze-3x, then W = (a) 0 (b) (c) 5e-* (d) e5x d O a…

A:

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a,…

A:

Q: A particular solution of the differential equation y" + 3y + 2y = 4x + 3 is (Select the correct…

A: The given differential equation is y''+3y'+2y=4x+3. Find the particular solution of the above…

Q: Find a particular solution to the nonhomogeneous differential equation: +(y" + 4y' + 5y = 15x +…

A: The given differential equation is y''+4y'+5y=15x+3e-x To find the particular solution let the trial…

Q: The suitable form of the differential equation y" + 2y'-3y = 5e2t, is Y = Aje2t, then the value of…

A:

Q: Find the solution of the given differential equation. (2r²t-2z') dt + (4z³ – 6z²t + 2zt²) dz = 0

A:

Q: The auxiliary equation of the differential equation 4y" – y" – 7y = 0 is: None of them…

A:

Q: Find general solutions of the differential equation    xy'+2y=6x^2(y)^1\2.

A:

Q: Find general solutions of the differential equation  4xy^2+y'=5x^4y^2

A: the given differential equation is: 4xy2+y'=5x4y2   the given differential equation can be written…

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

A: We need to find auxiliary equation.

Q: is a solution of the differential equation y" + (3x + 1)y' + 3y = 0 , then its coefficients Cn are…

A:

Q: find the general solution of the given differential equation. 2.y″ − y′ − 2y = −2t + 4t2

A:

Q: Find the general solution to the ollowing differential equations: (A) y = 2yx(y'+3)+13x %3D

A:

Q: Solve the second order differential equation ÿ + ỷ – 6y = 8e* + 3x 1 A:y = ce2x + c2e-3x + 2e* + 12…

A:

Q: One of the following is a general solution of the homogeneous differential equation…

A:

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

A:

Q: Solve the differential equation y' – 3y = 4et at y(0) = 6. O y = 4e3t – 2e5t %3D | O y = 4e¬3t +…

A:

Q: find general and particular solution of differential equation 4y" - 4y' - 3y = 0 with the given that…

A:

Q: Given: (6x - 3y + 2)dx - (2x - y - 1)dy = 0. Find the general solution of this differential equation…

A:

Q: Given the differential equation y" – 8y' +16y =- 3e**. b) Write down the FORM of the particular…

A:

Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x²…

A: