x*y' = -x³y – csc (xy).

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

A: See the attachment

Q: Find the differential equation by eliminating the arbitrary constant y= A + bex

A: Solution:-

Q: y=X+ Ci ex t %3D

A: Explanation of the answer is as follows

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

A:

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: Solve for differential Equation y^2dx+x^2dy=0

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

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: y' + y lnx = 0 classify the differential equation and find the general solution

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Q: Determine whether the differential equation -dx = e* is x' +1 separable or not. If yes, solve it.

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Q: solve the differential equation. tan2 y dy = sin3x dx                   when y(0) = 0

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Q: the differential. Equation by eliminating the arbitrary constant  y = Ae2x + Be-2x

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

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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: (D² - 1)y= 2 1+ex

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

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Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: Find the solution y(t) by recognizing the differential equation

A: Given differential equation - y' = 6300-yWe can write it as - dydt = 6300-ydy300-y = 6dtIntegrating…

Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: 2ydx = (x2 – 1)(dx – dy)

A:

Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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

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Q: Solve the differential equation by the method of integrating factors. y + 7y = cos (e7*) y = Use "C"…

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Q: Q-2. Form the first-order differential equation of ey = sinx

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Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Solve for the Differential Equation (Use Variable Separable) xydx-(x+2)dy=0

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Q: (D²+1)y= tan x

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

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)

A: Given the differential equation is y''+2y'+y = e-t lnt

Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

A:

Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''-2y'+1=(x+1)e2x

A: The given differential equation is: y''-2y'+y=(x+1)e2x

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A:

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

A:

Q: Solve the differential equation by undetemined coefficients y" – y' = -3

A: Solution- Given y''-y'=-3 ⇒dy2dx2-dydx=-3-----(1) dydx=m ⇒m2-m=0⇒m(m-1)=0m=0, m-1=0≠m=1 Distinct…

Q: Find the differential. Equation by eliminating the arbitrary constant  y = Ae2x + Be-2x

A:

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) = %3D

A: Given: Given differential equation is y''+y=sin2x We want to solve the differential equation by…

Q: solve the differential equation using the substitution method. (3siny-5x)dx+2x2cotydy=0

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Q: Convert y'=Xy ʻ-y into an exact differential equation.

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Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…

Q: solve the differential equation xy' - y = 2x ln x

A: Given: xy'-y=2xlnx For finding solution of given differential equation, we convert it in first order…

Q: Solve the differential equation by variation of parameters. y" - 2y + y = et arctan(t) y(t):

A:

Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…

Q: -2у y+2xyy' = e" y 'y'

A: Please see the answer in step 2

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.