15. Determine the differential equation whose general solution is x= C,e" + C,te® . d²x dx – 36+12x = 0 dt а. dt? d²x dx b. +12 - 36x = 0 | dt d²x dx X. -12%* + 36х %3D0 dt? С. dt d?x dx d. -4* +9x = 0 dt? dt

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: How many parameters are there in the differential equation * у 3а сos bх + c sin bx+4 а. 2 b. 3 С. 4…

A:

Q: dy/dx − x^3 = 0 where y(0) = 5

A:

Q: Q2\ Find a general solution of each of the following differential equations : y.x 1. 2х-x2 dy = /2 –…

A:

Q: which is the corred differential equation of the relation y = x + be* + ce* after elimination of the…

A: Solution: Given that

Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

A:

Q: Determine the particular solution of the given linear differential equation (D^4 +3D^3 +2D^2)y=0;…

A: Given:

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

A:

Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: Form the differential equation for the function 2xy asin2x-bcos2x O a xy" -2y = -4y Ob.xy" + 2y=…

A: Using the product rule of differentiation it can be written that ddx(xy)=y+xdydx . The derivative of…

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

A:

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: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

A: To form the differential equation by eliminating the arbitrary constant

Q: Determine the general solution of the differential equation: dy _Y -1+ x dx Select one: Оа. X. x² 2…

A:

Q: 3 dw + xy + w = k dx2 2 +s + 2st = 0 dx (尚) ds dt dt y" – 5x(y')2 = e* + 1

A:

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

A:

Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

A:

Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: Solve for the differential equation of the given function y = C1x + Cze* by applying elimination of…

A:

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

A:

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.