Q: Solve the partial differential equation of Lagrange’s form y^2 zp-x^2 zq=x^2 y.
A: We will solve the pde using lagrange's auxiliary equations.
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A: The equation of the circle having a center (h, K) and radius and radius r is given by:…
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A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…
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Q: Explain of the method of proving the derivative (dy/dx) of y=U(x)ᵛ⁽ˣ⁾ where U(x) and V(x) are…
A: y=uxvx, where ux & vx are the differential functions of x. To differentiate these type of…
Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…
A: We have to obtain the differential equation of the family of circles of fixed radius r with center…
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Q: (x-y)y-y-tanx is second order linear differential equation.
A: False.
Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0
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Q: Classify the first order differential equation .9 y = (y – 2) X اخترأحد الخيارات Separable…
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Q: 5. y" + y - sec z tan z
A: Given that, The DE is following, y'' + y = secx tanx We have to find the general solution of this…
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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: 1) Match the differential equation with its direction field. Which direction field represent y' = x…
A: Given, y'=x(2-y)
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Q: The integrating factor of non-exact differential equation (z y-)dz- (-z'y)dy=0 1 1 1
A: Given differential equation is
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Q: Differentiate. y =x° In x- dy II
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Q: Compute the differential dy for y=(6x+sinx)^3
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Q: 4. y" +2y'+ = cos a COS
A: We will solve the problem
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Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz
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Q: 23, zax + sec(x)cos(y) 0, y(0) = 0
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Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…
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Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -
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Q: A population (in thousands) grows according to the differential equation dy e ky(L-y), where the…
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Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False
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Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…
A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x
Q: Find general solution of differential equation. Enter transient terms if any. x^2y' + xy= 7
A: Here we will find out the required general solution for given differential equation.
Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist
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Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…
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Q: Match the differential equation with its direction field. y' = 5(x + y) – 1 -0.6- --0.4 - -0.2 0.2…
A: Given that y'=5x+y-1 Let fx, y=5x+y-1 then y'=f(x, y) As, we can see in given problem f(x, y)…
Q: Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)
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Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx
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Q: These equation classifies by dy 3 +5x y dx' tan x dx Ordinary Differential Equation O Partial…
A: By see tha solution of this question
Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)V(x) where U(x)and V(x) are…
A: We have to explain of the method of proving the derivative dydx of y= U(x)V(x) where U(x)and V(x)…
Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…
A: The solution is given as
Q: dy cosh x dx + (sinh x)y = e-x
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Q: What is the integrating factor for the linear differential equation xy' – 2y = x?
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Q: Determine a region of the xy-plane for which the differential equation = y – x² would h dx unique…
A: Given, the differential equation dydx=y-x2
Q: Use linearization to classify the fixed point for the differential equation i = e -1.
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Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP
A: First order linear form of the differential equation is: drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…
Q: dy 42. = 3x2- sec2 x; if x 0, then y = 1 |3D %3D dx
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Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .
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