Given I = 26t +3 and y= 130t2 + 115 da (i) dt dy (ii: dt dy (ii) da (write the simplified answer)

Q: (y + 1)dx + (4x – y)dy = 0

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Q: dx dt dy dt х — 2у + t х — у + 2t

A: The given equation is dxdt=x-2y+tdydt=x-y+2t This equation can be rewritten as x'=x-2y+t t=x'-x+2y…

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: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: dx -0.16x + 0.08xy dt dy 4.5y – 0.9xy - dt

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Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation

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Q: dx dt -x + y + 2et ip dt — у — е-t

A: System of differential equation

Q: Find the general solution for (y + 1) dx + (4x – y) dy = 0

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Q: Solve the initial value problem. √y dx + (x-4)dy=0, y(5)= 36

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Q: 3). S eax cos(mx) dx

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Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: (x² + y²)dx – xy dy = 0

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Q: Find an implicit solution for dy/dx= x^2+1 / y^2+ 1, for y(0)= 1

A: Given differential equation is                                        dydx=x2+1y2+1, y0=1 The given…

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

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

Q: 4. Solve the equation using homogeneous equation (x– 2y)dx+(2x+ y)dy = 0.

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Q: 3. (4r'y-15r-y)dt + (r +3y-1)dy = 0 CS Scanned with CamScarner

A: We can solve this using exact equation of differential equation

Q: dy -y² = yx+x² dx

A:

Q: Find the function which solves the initial value problem dy/dx=2x−2, y(2)=−7 y(x)=?

A: The solution is:

Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3) = 9

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Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

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Q: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

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

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Q: (x + 2y – 1) dx - ( 2x + y - 5 ) dy = 0

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Q: Zx+1 8) I = - dx 7-7x+12

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

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

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Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: Solve the initial value dy/dx = 1/x2 + 1 - 1, y(0) = 1

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

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: solve the differential equation with the given initial condition.

A: Given:  The differential equation .

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A: Given simultaneous equation, dxdt=3x+2ydydt+5x+3y=0 The eigen value of a matrix is calculated by…

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

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

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: Solve using the integrating factors by inspection and get the general solution of…

A: The given differential equation is, yx2y2+2dx+x(2-2x2y2)dy=0 Now rearrange terms as below:…

Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the integrating factor?

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Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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Q: 1? d²N dN – 2t-+ 2N =t ln t dt 2 di?

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: %3D

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.