3. Find the particular solution of the differential equation (y² – x²)dy – 2xydx = 0; when x = 4; y = 0. a.y3 – 3x?y = 0 b.2y? – x³y? = 0 c.3x2 + xy³ = 0 d.x3 + 3xy? -

Q: 10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x +…

A: Given differential equation is D2 -D-2 y = 6x +6e-x  This is non homogeneous differential equation.…

Q: (3) Show that the solution of the differential equation fip + y = -2r"y' is ´d.r r'y"(2r* + c) = 1.

A:

Q: The solution of the non-exact differential equation y dx + (3 + 3x – y)dy = 0 is: O (y^3)…

A: This question can be solved using the concept of linear differential equation.

Q: Find the initial value problem of the differential equation. 2x y" +3xy' – 15y=0 ; y(1) =0 , y'(1) =…

A:

Q: What is the particular solution to the differential equation (ye*y – 2y³)dx + (xe*y – 6xy² – 2y)dy =…

A:

Q: a. if y = asin3x + bcos3x satisfies the differential equation d?y + 4 + 3y = 10cos3x, find a, b. dx2…

A: Now , first  we will find d^2y/ dx^2 and dy/dx Then,  we will find the value of a and b.

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: Given the differential equation y'-y=3 and the initial condition y(0)=a, what is the value of a that…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 6. If the function y = a, (1 + 3x + x² + r- :) is a solution of the differential +. equation Ay' –…

A: The solution is given as

Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

A:

Q: Find the complete solution for the following ordinary differential equation y" -y' - 2y = x² 1- C₁…

A:

Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y…

A:

Q: 2.2 Find the solution of the differential equation d'x dx + + 3z + 8x dt dz %3D dt? dt

A: Given: d2xdt2+dxdt+8x=dzdt+3z

Q: 1 3. Verify that y = x+1 is a solution of the differential equation y" + 2yy' = 0, y(0) = 1.

A:

Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

A:

Q: Determine the solution of the differential equation y' = 2y + x2 + 5 1 1 X- 2 11 -2 X' 2 + Ce-2x а.…

A: Given: y' = 2y+x2+5 dydx-2y=x2+5   Linear differential equation is of the form dydx+Py= Q, where P…

Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

A:

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

A:

Q: The solution of the non-exact differential equation (x³ev +*) dy+ (1+ 2x²e³)dx = 0 is: x^2…

A:

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

A:

Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

A:

Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+y)dy=0, we let the substitution dw =- (Note: We use…

A:

Q: Determine the appropriate form for yp on the differential equation y"=9x^2 + 2x -1 a. y=Ax^4…

A: given the differential equation :

Q: | 2. Consider the differential equation y(5) + 3xy4) + 2y = 0 How many linearly independent…

A: **By Bartleby policy I have to solve only first one as these are all unrelated problems**  First…

Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy = 0, we let the substitution dw =

A: the differential equation 4(3x+y-2)dx-(3x + y)dy=0, we let the substitution dw=??

Q: 6. Find the particular solution to the differential equation: (y +2)y"=3x*y+4y, given: y(0) = 1…

A:

Q: Find the general solution of the given higher-order differential equation. y(4) - 2y" + y = 0 et +…

A:

Q: 19. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if y(0)=1 is - O 3y^2…

A:

Q: If xm is a solution of the differential equation x²y" – 2y = 0 then m %3D -

A: Given that a second order differential equation and also given a solution of this equation is xm and…

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: What is the particular solution of the linear differential equation yl = x³ – 2xy; when x = 1, y =1?…

A: Let's find.

Q: 15. Determine the differential equation whose general solution is x= C,e" + C,te® . d²x dx – 36+12x…

A: We need to determine the ODE for which the solution is given in the question. This can be done as…

Q: 15. Find a pair of solutions to the Differential Equation y" + 6y' = 12 a. y = ci + c2e-6x + 2x b. y…

A:

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: 15. Find a pair of solutions to the Differential Equation y" + 6y' = 12 a. y = c1 + c2e 6x + 2x b. y…

A:

Q: 4) Match the graph of the particular solution curve to the differential equation. (а) у" — Зу' — 4у…

A: First we calculate the general solution then match with given graphs.

Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

A:

Q: Find the indicated particular solution of the given differential equation. dy 3 - 2x; y = 7 when x =…

A:

Q: [1] Verify that y = e3* cos 2x is a solution of the differential equation y"-6y + 13y = 0

A:

Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy=0, we let the substitution dw =- (Note: We…

A: Given differential equation is 4(3x + y - 2)dx - (3x + y)dy = 0

Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

A:

Q: 3. Find the particular solution of the differential equation (y² – x²)dy – 2xydx = 0; when x = 4; y…

A: Given that (y2-x2) dy - 2xy dx =0 . We have to find a particular solution when x=4, y=0.

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –…

A:

Q: What is the family of solution for the differential equation below? (1 point) dy 8sin4x dx a. y=-…

A:

Q: 2(a) Show that for any values of the arbitrary constant c, and the function C2 d²y + y = 0 y = c1sin…

A:

Q: 1. Get the general solution of the differential equation y' + yx^5 = (x^5)(y^7). A. y = [1 +…

A:

Q: Choose the correct answer

A:

Q: 11) Consider the linear differential equation y" – ly = 2e6z + 3x + 8 If the particular solution has…

A:

Q: 1.) Obtain the general solution of the differential equation. (1 – xy)~²dx + [y²+ x²(1 – xy)-²]dy =…

A: First we check if the equation is exact then solve the ode.