The equation y ' y? - 1 is separable

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: In the given equation , determine whether the differential equation is linear. Explain your…

A: Given differential equation y'- ysin x = xy2

Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

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Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

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Q: Is y'' = sin x a linear differential equation?

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

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Q: and dr= %3D Solve for the differential of y When y=sinxx x

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: 4. y +2xy = x+y

A: Given:- y2+2xy=x+y To find:- First and second derivative of given implicit function

Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: find dy/dx of y=cos2x-sin4x

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Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the given differential equation by undetermined coefficients. y"+y = 6x sin(x) %3D

A: Given differential equation is            y''+y = 6xsinxConsider the equation y''+y =0…

Q: Which differential equation matches the slope field that is show

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Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: Find the general solution of y'= sin²xcosy.

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: Find dy/dx of y=sin-(1/,). 9x-

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Q: is the differential equation of the sol

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Q: a- y= (cosx) (use logarithm differential)

A: To find dy/dx

Q: Give the differential equation that has as its general solution. y = C₁ sin(2x + C₂)

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Q: dy (sec x) dx eуtsin x

A: Given : The differential equation sec xdydx = ey + sin x

Q: the differential equati on 21?y -dy-34=5€ dx Solve

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Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

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Q: Find the curve y that satisfies the differential equation y' sin r and passes through the point (T,…

A: Integrating the equation

Q: Solve the differential Egueations Zydx - (3xy*dx- xdy =0 When

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Q: 2-3z2 dx

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Q: Find the differential of the function y=sin23x.

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Q: If y = sin2x, the derivative dy/dx is equal to a. cos2x  b. sin2x c, 2cosx  d. 2sinx (SOLVE BY…

A: Solving the equation by the method of differentiation.

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: -X y" + 2y² + y = €²² ln x e^

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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

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Q: The Bernoulli's equation dy +ytanx = y'sec x after multiplying dx -2y and use appropriate…

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Q: Solve the differential eguation 3-

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: Y"+4y'+4y=e-2x Lnx

A: Given differential equation is y''+4y'+4y=e-2xlnx. Now auxiliary equation is m2+4m+4=0⇒(m+2)2=0…

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: siny dx + (x – sin? y)dy=D0

A: