Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (y + a)dr = 0 (22 + 3ry)dy + (y+²)dx = 0 3 (22 + 3ry)dr + (v + 2²)dy = 0 (x2 + 3ry)dx + (y³ + 2)dy = 0

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: .D dy + x?y = sin(x) dx

A:

Q: Form the differential equation for the function y = a sin3x -bcos3x O a. y" - 9y 0 O b. 9y" + y = 0…

A: Given differential equation is: y=asin3x-bcos3x                                                (1)…

Q: Q-4. Form the first-order differential equation of y = e(sin y+æ)

A: Our aim is to form the first order differential equation.

Q: Find the differential equation of the following function (x – 2)dx + 4(x +y – 1)dy = 0 a. 2(y + 1) =…

A: Let's find.

Q: (2x-3y-7)dx=(x-2y-4)dy Determine the type of differential equation and  find the general solution.

A: Non-homogenous differential equationdefinition:-The differential of the type…

Q: Form the differential equation for the function y = ae3x + be-3x O a. y" +2(y)2 = 9y? O b. 2yy" -…

A:

Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

A:

Q: Which one of the following differential equation is the Bernoulli's form of differential equation?…

A: Bernoullis differential equation

Q: transcribe the following text in digital format

A: In the question, it is asked to transcribe the given text in the screenshot to digital format.…

Q: What is the general solution of the differential equation below? RS (2 points) (cos2y - 3x?у?)dx +…

A:

Q: The differential equation 3x?yy' – 3x5 = y?can be changed to linear by the substitution (a) v = y?…

A: Put y=vx So, none of these is correct option.

Q: (In x - 9Jax-(8 + 1) dy == 0 2. + 6x) dx + (Inx-2) dy = 0 3. (2x y2 + 24) dx + (2x²y + 2x) dy = 0 4.…

A:

Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

A:

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

A:

Q: differential solution.. dy/dx= 2x, what is why?

A: given,           dydx=2x

Q: dy/dx=(y+7)(y-7), where y(0)=10. Solve the differential equation.

A:

Q: 2xydy + (y- 3x)dx = 0;y(3) = 2 O xy² - x³ = c O x³ - xy² = –15 O x³ - xy² = 15 O x³ - xy² = c

A: Solve intial value problem, by Exact differential equation

Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

A:

Q: Find the differential equation of the following function (3х + 2у + 7)dx + (2x — у)dy %3D 0 а. Зx? +…

A: Exact differential equation

Q: Which of the following differential equations are linear? Determine the order of each equation. y =…

A:

Q: (y+2)dx +y(x+4)dy = 0 ; y(-3) = -1 a. Identify the Differential equation if it is an ODE or PDE. b.…

A:

Q: Q-4. Form the first-order differential equation of y = e(sin y+z)

A:

Q: Explain why the graph below cannot be the solution graph to the differential equation dy =-y(x+2)2…

A: The given graph The given differential equation is

Q: Form the Differential equation if its solution is V=acos(2x +b) O a. y'= 2x b. None of these O c.…

A:

Q: Jse a graphing utility to graph each function in the interval [0, 2x). y = 9 cos?(x), y = 9e-x + 9x…

A: Plotting the graph of functions y=9cos2x and y=9e-x+9x-9 using Desmos graphing tool. The graph is…

Q: Find the differential equation of the following function (x + y – 1)dx + (2x + 2y + 1)dy = 0 a. x +…

A: Given differential equation is  (x+y-1)dx+(2x+2y+1)dy=0

Q: Solve the differential equation: dy ху?. - x = 1 dx а. у %3D у3х + 3ln\x3| + C b. y = 2y + 31ln|x³|+…

A:

Q: Determine the order and degree of the differential equation, 3x + 5x² (1²1) ³ - x - xy = 0. 3 dy4…

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.