Which of the following is the general solution of the differential equation In) = -2y? 5x 5x e2y a. = C 5. 3 2y e5x + C + C a.-* - c e2y %3D e. None of them

Q: The complementary function(C.F.) of the differential equation(D – 7)²(D+3)y = 7x is_ O (c1 + C2x)e=…

A: Differential equation and complementary function

Q: ots. S=C₁e-t + c₂e²t + c3e6t+₁е-5t O a. 2,-1,6, -5 O b. -2,-1,-5,6 O c. 5,-1, 2, 6 O d. 2,-1,2,6

A: Topic:- application of differential equations

Q: (04-16) y = x#+ x+ 1

A:

Q: The particular solution of the differential equation. (D² + 4)Vp = 12 1 3. O O O

A: To Find: The particular solution of the differential equation.D2+4yp=12

Q: Which of the following functions is the solution of the differential equation dy + 2y = 0 de А.…

A: Given differential equation is  dydx+2y=0

Q: 1. (D²³+2D² - 5D (D³ + 2D² - 5D - 6)y=0; y = 0, Dy = 0, D²y = 1, when x = 0.

A:

Q: The complementary function(C.F.) of the differential equation(D - 5)y= cos 5æ is_ O (ci + c2a –…

A: Given that  (D-5)^3y=cos5x  To find the complementary function

Q: dºu d5u + 6 dv5 dªu d³u 48 dv3 d²u 81 dv2 du 54 dv dv6 dv4 81u = 0

A: Given: d6udv6+6d5udv5+d4udv4-48d3udv3-81d2udv2-54dudv-81u=0 So, we can also write as:…

Q: Which of the following is a solution to the differential equation xy - 2y = 2?

A:

Q: d(x) = 5x(t 2d(t) %3D

A: Sol

Q: (-7D – 6) y = 0

A: To solve the following linear homogenous differential equations

Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

A:

Q: &M What is of the differential equation (2z + 3) y = (y + 2z +3)i? %3D ○ 를 (y + 2z +3)) 3 G + 01 1 +…

A:

Q: The solution to the differential equation (x³y² + xy)dx=dy is x² a. 1=2x²y-4y+Cye ² 2 b. 1=…

A:

Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: Which of the following is the general solution of the differential equation In()- x²+e5x) = -2y ? a.…

A:

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

A:

Q: dy 1. da + Зу 3D 2ге 2xe-3r du

A: Using differential equations.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.