5- dy/dt = y²(y+1)(y-3), -∞

Q: From the previous page: the function f(x) = e*(x² + x – 1) has derivatives f'(x) = e*(x² + 3x),…

A: Consider the following function: fx=exx2+x-1f'x=exx2+3x Consider the part (e): Linear approximation…

Q: Find the partial derivative fx and fy of the given function 3x f(x, y) = -y2 :/ cos(r? – - t + 1)dt.

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Q: 2. Start: y= x What transformations occurred? End: y =-9(x-8)² + 5

A: First   shift the graph right by 8 units.  Then  strecth by (-9) units.  Then  shift upward by 5…

Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. xp -x7 dt The…

A: Determine whether the equilibrium at x=0 is stable,unstable orsemi-stable.dxdt=4x2-x7

Q: Deternine the type of linearly independent solutions of the ODE x2y" - 2xy' +3y = 0 %3D

A: We have to find general solution of given differential equation.

Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Find y as a function of a if y"" - 12y" + 35y' = 24e", y(0) = 27, y'(0) = 11, y'(0) = 30. y(x) =

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Q: xux-yuy+y2u=y2x find the general solution

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Q: 4Ux+Uy=U² , U(x,0)=1/1+x²

A: In the given partial differential equation with the given initial condition. 4ux+uy=u2u(x,0)=11+x2

Q: Discuss the continuity of the function 2ху +y? f(x.y): (x, y) # (0,0)

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Q: Find y as a function of a if y(0) = 19, y'(0) = 26, y" (0) = 14. y(x) = y"" - 10y" + 21y' = 48e²,

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Q: (b) Find the Wronskian W[y1,Y2](t) of y1 and y2-

A: W[y1,y2]= -t2et

Q: Find Solution of Homogeneous linear ODE s (D°, 60 +131 Jy

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Q: 1 Find the partial derivative with respect to y of the function (2 x – 3) (3 y + 1)i el-5 z+5). -5…

A: To find the partial derivative of the given function with respect to y (2x-3)1/4(3y+1)1/4e(-5z+5)

Q: 4x = 0 %3D 4y + i = 0 x + y 8 = 0 (х, у, 1) %3

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Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

A: Given- Assume that  dx1dt = x110 - 2x1 - x2dx2dt = x210 - x1 - 2x2 To find-  Graph the zero…

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: успЈ where /_g[n_1] + n[n] 2 x[n] = (!) u[n]

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Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: (0.52)* ) 1 1+x²

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Q: dx? + (m – 1)(ax³ +b+ cy) = 0 dt2 How do you split this into 2 first order derivatives? Also what is…

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Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (4x² + y²) dx + x(x-2) dy =6 Verify that M(x,y) = 4x² + y² and N(x, y) x (x-2) are homogenous 1-

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Q: If (X, d_{1}) and (Y, d_{2}) are metric spaces, we define d: (X × Y ) × (X × Y ) \rightarrow R by…

A: Let X be a nonempty set with a mapping d:X×X→R is said to be a metric space if mapping d…

Q: Find a general solution to (ax+b)y"+a(ax+b)y'- y3(ax+b)°, where a,b >0 with ax +b >0 for all x on a…

A: Given equation is  ax+b2y"+aax+by'-a2b2y=ax+b1b Cauchy Euler equation . To solve this put…

Q: (xey-1) Q2: Let f (x, y) = Compute all first and second partial derivatives. (yex-1)'

A: The partial derivative of a function fx,y can be calculated by differentiating it with respect to…

Q: (x²ex²+y ) f(x,y) = } 7²+y2 , (x, y) # (0,0) 0, (x, y) = (0,0) Calculate fx (0,0) or show why it…

A: