Find for the equation yz? – et* cos(4zx)-3y² =4 ây

Q: Find the solution of the equation a²z a²z + cos y ax² dy² which tends to zero as x→∞ and has the…

A: Given partial differential equation is ∂2z∂x2+∂2z∂y2=e−xcosy. It can be written as follows…

Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: dy - y = x y2 In x dx

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Q: Find the solution of the equation =e* cos y d ig %3D dy? which tends to zero as x 0o and has the…

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Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

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Q: (e² sin*(2r)' 21² +1 , y = In

A: Use the lograthim rule of derivative and than with the help of chain rule calculate the derivative…

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: Find the solution of the equation cos y dy? which tends to zero as i → 0o and has the value cos y…

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Q: Find the solution of ordinary differentral equation X+2xy'-2y=L4xlox -5cos(Inx)

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Q: Find a particular solution yp for the equation. y" - 6y' + 5y = cos3x 3sin3x

A: Consider a non-homogeneous differential equation of the form a(x)y''+b(x)y'+c(x)y=r(x). Then the…

Q: dy 5. Solve the IVP: = cos(r+ y), y(0) = dr

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Q: Find d-/dx² at the given point without eliminating the parameter. x=0+ cos0 and y=1+sin0 ; 0 =a/6,

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: y''''+8y'''+32y''+64y'+39y=e^(-2x)((4-15x)cos3x-(4+15x)sin3x) Find a particular equation for:

A: The given differential equation is: y''''+8y'''+32y''+64y'+39y=e-2x ((4-15x) cos3x-(4+15x) sin3x)…

Q: Solve the D. E J+gtanx = sin ex

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Q: Use undetermined coefficients to find the particular solution to y"+ 5y' + 4y = - 500 sin(3t) Y(t) =

A: We have to find the particular solution of  y''+5y'+4y=-500sin(3t) by using the method of…

Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: 9. Find dy for y defined implicitly. by the equation xy-secly)-3x

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Q: Q3 Find dy/dx on the graph y3 sec /x2 + y2 = cos2x at point (1, 2).

A: We have to find the derivative  of given expression at point (1, 2)

Q: if y^3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: Given,

Q: Find the solution of the equation M a²z a²z = e cos y Əх² ду? which tends to zero as x→∞ and has the…

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Q: FIND Y(s) OF THE GIVEN EQUATION. y" + 4y = cos(t-3)+4t, y" - 6y + 15y = 2 sin(3t), y(3)=0_y' (3)=7 y…

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Q: FIND Y(S) OF THE GIVEN EQUATION. y" + 4y = cos(t-3) +4t, y(3)=0 y' (3)=7

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Q: The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

A: Given that, Differential equation is following, dydx+4x2y=xy We have to find that this D.E can be…

Q: Use this equation to find dy/dx. 4y cos(x) = x² + y2

A: We will differentiate  equation with respect to X.

Q: Show that the following equation is exact and find its general solution. (3x²y+ 4y + dx + (x + 4x +…

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Q: 1 and y' CO)

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Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = cos 3x

A: To solve the given equation by the method of undetermined coefficients y''+y=cos3x

Q: 4. Find the solution of the equation = e * cos y dy? which tends to zero as x → 0o and has the value…

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: Solve the given higher order DE y" – y" + 3Dy – 5y = e*Sin 2x

A: Auxiliary equation corresponding to given differential equation: m3-m2+3m-5=0 Roots of polynomial…

Q: y" – 4y' + 4y Cos 4x -

A: The given differential equation is y''-4y'+4y=cos4x ...................................... (1)

Q: 5. Find (b) y = cos (11xs+ 5x).

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Q: dz Find a? sin(2y – 5z) =1+y cos(6zx)

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Q: cos 2y dy sin y

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Q: 4. (D² – 3D+ 2) y = 14 sin 2x – 18 cos 2x -

A: From the given differential equation; D2-3D+2y=14sin2x-18cos2x So, the auxiliary equation is:…

Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: 2. If xy+Y find the value of dy dx2 5- at the point Co,-1)

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Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: Find the general solution: y" + 5y' + 6y = 4e¬t cos2t + sin2t A - BI -

A: Differential equations

Q: Obtain the der a) cos(xy)=2y, find y'

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Q: 8. (sin°(5y)dy

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Q: 3.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – U37(t)cos(2t) , y(0) = 0,…

A: We will find out the required solution.

Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

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Q: Find an equation such that y xe" cos(2x) is its solution.

A: To find an equation we derivative both side with respect to x.

Q: 6y' = y*sinx У (0) — 1

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Q: y 3x+ 6 cosx, 0 £xs 2n

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