Solve the given differential equation by finding an appropriate integrating factor (x² + y² + x)dx + xydy = 0 O a. -3x4 + 4x3 6x?y? = O b. 3x4 + 8x3 + 6x2y2 = c - 3x1- 4x + 6x?y2 = O C. O d. 3x4 + 6x + 4x?y? = c e. 3x + 4x+ 6x?y2 C.

Q: The differential equation (4x2y2 + 6x y )dx + (5x3y + 8x2)dy = 0  has an integrating factor of the…

A:

Q: ven the differential equation (D3 + 9D² + 27D + 27) y = In(2x –- 3). Propose an appropriate…

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: 2xydy + (y² – 3x²)dx = 0,y(3) = 2 O x - xy² = -15 3. .2 2. 三C .2 .2 xy 15

A:

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

A:

Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

A:

Q: Am.800.

A: To solve the system of differential equations provided in the image, we can approach it as a system…

Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e²x)/(x4) ○ A.y…

A:

Q: e value of the constant a of (x² + 4xy)dx + (ax² + 3y²)dy if the differential equation is exact, is…

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: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: The solution to the differential equation (x²2 -4xy-2y²)dx+(y² -4xy-2x²)dy=0 a. y²(y-6x)+x²(x-6y)=c…

A: To find the solution of the following differential equation. x2-4xy-2y2 dx+y2-4xy-2x2 dy=0

Q: Solve 4x+ 4x+6y +5 dy dx 3y+2x+4

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: (D* + 6D3 + 9D²)y = 0 A. y = c1 + c2x + Cze 3x + C4xe¯3x + C4xe-3x B. y = ce* + c2xe* + c3e3* +…

A: Given DE is (D4+6D3+9D2)y=0.....(1)

Q: The complementary function(C.F.) of the differential equation(D – 7) (D+4)y= 7x is_ O (ci + c2x)e +…

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

Q: The differential equation (4x2y2 + 6x y )dx + (5x3y + 8x2)dy = 0  has an integrating factor of the…

A:

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A:

Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e2x)/(x4) O A. y…

A:

Q: dx + 6x = 3yæ y- dy 1 1 x = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (x + x²C)³ x = (y +…

A:

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x.

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.