Form the differential equation Por the curve y= 2sin (x + 3)

Q: Find the differential equation of r = e'[sin(1+ last digit of your id)t + %3D

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Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

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Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

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

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Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

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

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Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

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

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Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

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

A: Consider the provided differential equation,

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

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: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Classify the differential equation given below and find its general solution. y = xcosecx + y cotx.

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Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

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

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Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: (3sin y – 5x)dx+2x² cot ydy = 0

A: Given 3siny-5xdx+2x2cotydy=0

Q: ind solution of order differential equation  dy/dx=(x+2y-3)/(2x+y-3)

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Q: y" - y = e2* - sin x

A: The given question has been solved in detail

Q: xcosydy + sin2ydy – dx = 0

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

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

A: The given differential equation is: y''+y=sin2x

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

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Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: (2xy-tan(y))dx-(sin(y)ln(5x+15)-y^(-1))dy=0 using Exact Differential Equation

A: Given,Differential equation,2xy-tan(y)dx-sin(y) ln(5x+15)-y-1dy=0To find: General solution of the…

Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

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: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: + y = ry dr

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Q: Solve the differential equation Integrating Factor by Linear Equations:  y' = 1 -2y cot2x

A: To Solve the differential equation   Integrating Factor by Linear Equations:    y' = 1 -2y cot2x

Q: Solve the differential equation:  dy/dx= tan2(x). The curve passes through point (0, 0).

A: Express the tan^x=sec^2x-1 and integrate

Q: (D²+1)y= tan x

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Q: plutions of differential equation ху" 1+ y2

A: Consider given differential equation put y” =t’ and y’ =t ⇒xt'=1+t2 ∫dt1+t2=∫dxx sinh-1t=logxc t…

Q: Solve the differential equation y'=tan(x+y)

A: Integrate for solving

Q: Determine whether the differential equation is exact. Show work to support your answer. sin(x) dy =…

A: The solution is given as

Q: Solve the differential equation tan x- dy ey-cotx dx

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Q: Y = CI Cos 3X + C2sin 3x %3D

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Q: 2. xy' - y = y cos 3x

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Q: Determine the order and degree of the differential equation y' + y" = sinY O 1st order, 4th degree O…

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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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: Use Teller's method to Solve the differential equation y-X JJ when h=0-2 s y(1)=2 Use The fifth rank…

A: We can solve this using Taylor method

Q: differential equation fip + ytanr = 2 cos x, given tha xp

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Q: From the differential equation by eliminating the arbitary constants A and B from the equation…

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