If x = 2sinθ, y = 1 – 4cosθ, then dy/dx is equal to (SOLVE BY USING DIFFERENTIAL EQUATIONS)

Q: The solution of the differential Equation dy csc x by Direct method dx is

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Q: If the characteristic equation of the differential equation dy dy + y = 0 has two equal + 20 dx2 dx…

A: Quadratic Equation: A quadratic equation is an equation of degree 2. The standard form of a…

Q: Find the general solution of the differential equation using any method            dy / dx = √(4 −…

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Q: . Find the differential equation whose solution corresponds to the following equation. 1) y = αcos(x…

A: y = αcos(x + β) So, y' = - αsin(x + β) & y" = - αcos(x + β)

Q: Find a general solution to the differential equation x" + x" + x' + x = 0.

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: Solve the differential equation – xtan(y – x) = 1 dx

A: Using substitution y-x=t We can reduce inform of variable separable

Q: Find the general solution for the first-order differential equation. dy dx 16x

A: We have to find general solutions of given equation.

Q: Find the general solution for differential equation.

A: To obtain the solution of the differential equation dydx=4e2x, multiple both sides by dx and then…

Q: 6. (D² + 1) y = x cos x

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Q: Solve the given differential equation by separation of variables. dy -4x - y dx

A: We have to form in a integrable form.

Q: (1+x*)dy + x(1+ 4y²)dx =0

A: topic- differential equations

Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

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

A: we have to solve the given differential equation

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: y cos x dx+dy=0 y

A: Given query is to find the solution of the differential equation.

Q: xdy - (y + x² cos(x)) dx = 0

A: xdy-y+x2cosxdx=0xdy-ydx-x2cosxdx=0xdydx-y-x2cosx=0dydx-yx=xcosxFirst order linear diff. eq.

Q: (d) y' – y = e"

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Q: II. dy dx 2x² x(y² + 1)

A: We have to find the best way to solve the given First Order Differential Equation by Finding…

Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: 4. xy = x cos( y/x)+y

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ddxdydx = 6x + 3. d2ydx2  = 6x + 3 Let dydx = y'. d2ydx2 = y'' Therefore, the given…

Q: y= 4 + Inx; xy'

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION хdy — ydx 4. | = x³ dx y2

A: Given that: xdy-ydxy2=x3dx

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

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Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: solve the differential equation y′′ + y = 4 cos(2t)

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Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: Find general solutions of bernoulli differential equations.   xdy + ydx = x^3 y^6 dx

A: For linear differential equation ,dydx+P(x) y = Q(x)Soultion is :y x I = ∫IQ(x) +Cwhere I = e∫P(x)dx

Q: Show that the differential equation dy / dx = y / x is inexact and that a factor of 1 / x ^ 2 can…

A: Given differential equation is, dydx=yx.

Q: Find the general solution of the given differential equation

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Q: The solution of the differential equation y'+=y' is

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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: general

A: Please refer to the image below

Q: The solution of the differential equation y+=y is

A: Given, y'+yx=y2

Q: Find the general solution to the differential equation y = x² tan(y) y = help (formulas)

A: Solution: The objective is to find the general solution to the given differential equation

Q: e. xy' – y = x*y"

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Q: (メyーx+24 -2) dx- (x+ 4x) 0

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Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

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Q: ) xy dx - (xt2) dy =0

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Q: Find general solutions of the differential equation    (x+y)y'=1

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Q: The general solution of the differential equation xy'dx + exp(x:) dy is:

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Q: 2y'ly"+2)=xy's

A: We are given a nonlinear first-order ordinary differential equation. And we have to find its…

Q: y" + 4y = sin 3x

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Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

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Q: Solve the given differential equation by separation of variables. 2 y In(x) dx = (y + ¹)² X

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Q: dy _ху + Зx — у — 3 - - 19. dx ху — 2х + 4у — 8

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

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