What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy=0? A 2x°y³ -3x²= Cx² 4x³y? +3x?= Cy © 2x³y5- 3x²=cy? D 2x³y5- 3x²=c

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: 3. Solve the particular solution (D² + 3D + 5)y = 5e¬*sin2x using D- operator method.

A:

Q: Find the Particular solution of the ODE d²y dy - 62-7y = -9e-2x, at y(0) = -2 and ỹ(0) = –13 dx2 dx

A: To find The particular solution of the given ODE.

Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

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Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: Find the general solution of dy -2x6 dx y-4

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Q: Find the particular solution of csc y dx + sec2 x dy = 0; y = π/2 when x = π/2

A: We solve this differential equation by separation of variables.

Q: Find the general solution to dy/dx= 6-x^2/2y^3

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Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: What is the general solution to (2xy – 3y) dx + (x² – 3x) dy = 0? А. ху(х — 3) %3Dс В. х (у + 2х)…

A: Given equation, (2xy - 3y ) dx + (x² - 3x ) dy  = 0

Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

A:

Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: Solve (D2 – 2)y =0 O a. y = cqevZx + c2e¬vZx O b.y= "(c,cos/2x+ c,sin/2x) O c.y = cqevZx+czxe¬VZx O…

A: The equation D2-2y=0 represent y''-2y=0 . Consider the solution of the differential equation is in…

Q: 2r-r2 -3 zVx2 + y2 dz dy dx. 0. 0.

A:

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

A:

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Find the general solution for (d2y)/(dx2) + 10(dx)/(dy)+25y = 0

A: Given differential equation is y"+10y'+25y=0 This is second order homogeneous differential equation.…

Q: Find the general solution of y" – y' – 2y = cosh 2t.

A:

Q: dy 3. Solve dx = -8xy² +4x(4x+1)y-(8x' +4x² -1) by knowing u = x is a solution.

A: Given differential equation is dydx=-8xy2+4x4x+1y-8x3+4x2-1             …(1) y=x is a solution of…

Q: dx xy+3x-y-3 dy xy-2x+4y-8

A:

Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

A:

Q: dx - My- dy -5+e

A:

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Determine the general solution of (x – 2y) dx + (2x + y) dy = 0.

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Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

A:

Q: 1. Find the general solution. а. (3х — 2у + 1) dx + (3x — 2у + 3) dy — 0 Ь. dy/dx 3D (9х + 4у + 1)?…

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is:

A:

Q: 4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0

A: Exact Differential equation

Q: 2. Find the general solution of dy d²y dy + 12- dx - 8y = 21e2 - - dx3 dx2

A:

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy = 0

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

A:

Q: What is the general solution to (2xy – 3y) dx + (x² – 3x) dy = 0? А. ху(х — 3) %3 с В. х(у + 2х) — с…

A: We will find out the required general solution.

Q: What is the general solution of d^2y/dx^2 -4dy/dx -12y =3e^5x and dy/dx -2y = 4-x?

A:

Q: 3. Find the general solutions of, dy_x+y dx х-у, а.

A: given differential equation is  dydx=x+yx-y

Q: Find the general solution for d²y_2dy +3y = x² 2 dr2 dx

A: We have to solve given differential equation:

Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: 2Y – x²y² -2. dy dx

A: The given differential equation is: dydx=2yx-x2y2

Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

A:

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

A: