(y')? = 1 + cos²V) %3D

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Solve the Linear first Order Differential Equation xdy - sin dx

A: See the attachment

Q: The integrating factor of the differential equation as shown is e^(-y).

A: Given that: dxdy+x-y=0

Q: solve the differential equation using bernoulli's equation dy + ydx = 2xy2exdx

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Q: Solve the differential equation (cosxcosy - cotx)dx - sinxsin ydy = 0

A: Solution of differential equations

Q: Find the differential equation whose solution is given by y = C,et*cos3x + C,e*sin3x

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Q: what is the Non-exact differential equation?

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Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

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Q: y' = 4x(2y-y)

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Q: Solve the differential equation:+ y = e-* sin x 2

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Q: Solve the differential equation by using variable separable method: ( cosxcosy – sinxsiny)dy = dx

A: Since we can write  (cos(x)cos(y)-sin(x)sin(y)) = cos(x+y). Now solve equation by rewriting as…

Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: 4. Solve this linear differential equation by using the appropriate integrating factor +y =x - 1+

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Find the general solution of the differential equation

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: Solve the given differential equation by finding an appropriate integrating factor to make it exact…

A: Given equation is the linear equation  of the form  dxdy+xP(y) = Q(y)  and integrating factor is…

Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Find the general solution of the differential equation.

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: xcosydy + sin2ydy – dx = 0

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Q: Solve the higher differential equation below; yiv - y = 2 cos x

A: The given differential equation is yiv-y=2 cosx The auxiliary equation is  m4-1=0. On solving,…

Q: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

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Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: xcosydy + sin2ydy – dx = 0

A: First arrange it in the bernouilli equation then find its integrating factor. Then  use the formula…

Q: y+ycotx= cosx

A: The given differential equation is in the linear form, dydx+Py=QWhere, P and Q is the function of x.…

Q: Solve this exact and linear Differential equation in y.

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Q: y' = xe', У (0) — о

A: We have to isolate the variable then integrate the function to solve the equation

Q: Y = CI cos 3x + C2 sin 3X

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Q: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: y = 2 -[(1+y(t))sin tdt.

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Q: Solve the differential equation y y' = - + sin sin ()

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Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: y" + 4y' = sec 2x

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Q: у" - Зу' + 2у %3Dcos(e -*)

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: Solve the given differential equation by separation of variables. аy — е-У +е-4x — у exy dx

A: Solution

Q: solve the differential equation du/dt=35+7u+5t+ut

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: dy dr .2

A: The given differential equation is : dydx+yx=y2 It is of the form of linear differential equation.…

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.