solve the exact differential equation : (6x3 +4xy + y² )dx + (2x² + 2xy -3y² )dy =0 .A 2x³+2x²y+xy²+2x²y+y²x-y³=c .B 2x³+2x?y+xy²-y³=c .3 .C 3x²+2x?y+xy²+y³=c .D 2x°+2x?y+xy²-2x²y-y²x-y³=c

Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: Given: The equation is y2x+y-2dx-2(x+y)dy=0. To find: Solution of the differential equation using…

Q: Solve the linear differential equation. dy(xy + 2y³) + y²dx = 0 %3D

A: Given,dyxy+2y3+y2dx=0Let y be the dependent variable. Divide by dx:dydxxy+2y3+y2=0Substitute  dydx…

Q: 2/7,545

A:

Q: The complementary function(C.F.) of the differential equation(D-6)ʻ(D+4)y=6x is O (c1 + c2r)e + c3e…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

A:

Q: solve the differential equation: 4xydx+ (4x² +3y)dy=0 Select one: O a. F(x,y) = 2x?y?+y³ +c O b.…

A: We have to find the function by solving the differential equation.

Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

A:

Q: d5y 3) d²y d*y d3y + 13 dx3 13 dx2 dy + 36 dx + 36 y = 0 dx5 dx*

A:

Q: H3. Solve the following differential equations dy 1) 2) d²y dx² +4+4y=x²²e-²x, dx d²y dy -6 +9y=e³x…

A: Sol:- 1) y'' +4y' +4y=x-2e-2xy'' +4y' +4y=e-2xx2The general solution to axy''+bxy'+cxy=gx can be…

Q: Solve the differential equation y (2.x³ – x²y+ y³) dx - x (2x³ + y³) dy = 0.

A:

Q: The differential equation (1- z) (dy - dz)- 2rydx for y (0) = 1 can be transformed to a standard %3D…

A: Try to put all dx term and dy term together.

Q: Find the General Solution of the given differential equation. Solve (D33D2- 6D + 8)y- xe 3*

A: Consider the differential equation D3-3D2-6D+8y=xe-3x. The homogeneous differential equation…

Q: If z = -4x² + 2y² + 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

A:

Q: Solve the differential equation (D3 – D² – 4)y = 2x2 – 4x – 1+ 2x?e2x + 5xe2x + e2x

A:

Q: Solve the differential equation. dy = e5x - 5y dx O y = In (e5x + C) O y =In (e5x + C) O y = 5ln…

A:

Q: аль Ихх solve и и(o,t) =и (100,t) =o 2 и(x, 0) = 60 чо осхето so<x<100

A: The given problem is to solve the given heat equation partial differential equation with given…

Q: Which is the correct differential equation of the y = x + be²* + ce² after elimination of the…

A: The explanation of answer as follows :

Q: Solve the exact differential equation (x+y)²dx + (2xy +x² + 2)dy = 0.

A:

Q: Which one is non linear differential equation O a. d³y +3x Y - 10y = x dy dx3 dx O b. dy + 8xy = 2x…

A: Differential equations are given, we have to find it is linear or non-linear

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

A:

Q: which of the following differential equations can be solved using simple substituton? A. siny…

A: We have to find

Q: (b) (12xy2 + 6y + 3e*)dx + (6x²y + 2x)dy = 0

A:

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.