Q2: find the general solution: (D* - DD')z = (x² – 2y)e" + sin (2x – y) •2

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: S(;+ sin(x) – Vx²) dx

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Q: If f (x, y) = x(x² + y²)-3/2 esin(a²y) find fa(1,0).

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: Solve y" – 4y' + 8y = e2" + sin 2x 3.

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Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Solve: y" + 2y' + 2y = 2 sin(x) +3 cos(2x)

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Q: Solve: (1+y2)dx=(tan-1y-x)dy

A: Here we have (1+y2) dx = (tan-1y-x) dy We know that solution of the differential equation in the…

Q: Solve the DE (D-1)y= 3 sinx+ 22 - 2x°2

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Q: sinx

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Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: #4 tan lun sec x dx 4.

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Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: Q2) Find the general solution for this equatio- y" + (tanx-2cotx)y' + (2cot²x)y = 0 If you know that…

A: Given differential equation It has one solution Lets use method of reduction of order.Assume the…

Q: Find the general solution: 2y" + 3y' +y = 2e2 + x² + 3 sin(x).

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Q: 2. 2 Solve (D² +2DD' + D'² -- 2D– 2D')z =sin(x +2y)

A: Given the pde

Q: 1. (D² - 4D+5) (e² sin x)

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Q: 2. Solve the DE: 2y' - y= 4 sin( 3x)

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Q: Solve :     x²y"-2x(1+x)y'+2(1+x)y = x3

A: Given: The second order differential equation is x2y''-2xx+1y'+2x+1y=0

Q: If x*y" + xy' + (x? - y= 0 x >0 ,V1=x 2 sinx 3D0 and y =y,v. Which of the following equations…

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Q: (b) Solve: (x*D² - 2XYDD' - 3y'D? +xD-3yD')z = x'ycos(Inx').

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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.