y"+4y=x² sin 2 u

Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

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

A: See the attachment

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

A: Solution of differential equations

Q: y = C, cos 3x - C sin(-3x)

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

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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: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: Find the solution of the differential equation y"+y' = sin x %3D

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

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Q: find the solution of differential equation 2 y' +

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Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

Q: The solution of the differential equation y" – 2y' = x + sinx

A: we have to solve the given differential equation

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

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Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

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Q: Solve the given differential equation by undetermined coefficients. у" - бу" %3D 2 - cos(x) y(x) :

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Find the general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

Q: Solve the differential equation dy/dx=2x+sin3x.

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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: The solution of the differential equation y" +y = sin²(t) when solved using method of Variation of…

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Find the solution of these differential equations : 1. dx %3D

A: Given Since You have posted multiple questions, so we solve the first question for you, to get the…

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

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

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Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: The solution of the differential equation using variable separable 4/1- y². O sin y = 4x +e O cos 'y…

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Q: 4. y"-2y'+y =7+ 75 sin 2.x

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Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: (D²+1)y= tan x

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Q: '+y- y²(cos 2x– sin 2x) = 0

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Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

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

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Q: Find a function of the differential equation: y' = x3-2 sin x

A: topic - differential equations

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Solve the differential equation 3y + 3y (sin-¹x)√1-x² : 1

A: The given differential equation is 3y'+3ysin-1x1-x2=1.

Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: Determine the form of a particular solution for each differential equation 1. y" - 2y + y = 10e -2x…

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Q: y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Find the solution of differential equation 4º+y = sin dx2

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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.