dy To be able to solve the differential equation dx - = cos(x - y), use the substitutions A z=x+ y, dz = dx + dy B z= cos x - cos y; dz= - sin x dx + sin y dy с 2-х-у. dz-dx- dy z= cos(x - y); dz = – sin(x - y)[ dx – dy]

Q: Solve y (f) + 4y(t) = sin(t) – sin(t – 27)H(t– 27); y(0) = y (0) = 0 %3D

A: To find: Solve the given differential equation.

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: y'+2*tan(x)*y=tan(x) Find the solution of the equation

A: Linear differential equation

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 00 and has the value cos…

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: particular solution

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Q: .v" + y = cos x ; when x = 0, y = 0, y' = 1

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: y" y'' +(cos xc)y' + ну =0

A: As per the question we are given the following second order homogeneous differential equation : y''…

Q: Solve using any method: y"+y' - 2y = sin x

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Q: Find y' and y". y=2sin4x-cos(8x-1)

A: Let's find.

Q: solve using the appropriate method. y' + yx= sin x

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Q: 2. Solve 3 y'(z) + y(x) = y²(z) (cosz - sinx)

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Q: y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into…

A: Solve using variable separable method.

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: . y' -xy = (e-x cosx)yt Solve the equation. 2.

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Q: Solve y' = cos(2x + y – 5) – 2. = COS

A: The solution is given as

Q: Y''+4y=cosx find solution

A: We have to find the solution of the differential equation y''+4y=cosx. Consider the homogeneous part…

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: Find the solution. y'= 1 + 3ytanx (A) 3y tan³x=c+ 3sinx-cos³x B 3y cos³x=c+3sinx - sin ³x D 3y…

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Q: Solve the equation y' = csc(x) - y cot(x).

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Q: Solve for the differential of y when y= sinax, x=-, and dx= (A 4 B C) 4 D

A: Given; y=sinπx ,x=1/3, dx=1/2.

Q: y = 5 tan x³ + sec(3x)

A:

Q: 2) Find the general solution of the equation 1 y""+y' = (sinx)3

A: The  given equation  is  The auxiliary  equation is  given by…

Q: The general solution of x*y = -x³y- csc(xy) is A 2x?сos(xy) - 1 %3D сх B 2x²cos(xy) +1= cx² c)…

A: We have given a differential equation ,  x4y' = - x3y - csc(xy) x4dydx = -x3y - csc(xy) Here , plug…

Q: W (r) = (R+x)²' where Wo is the person's weight (in Ibs) at sea level (i.e. r = 0) and R is the…

A: Differentiation of a real-valued function gives the idea at which rate the function is changing with…