function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where Cis - 1 and Pis 4 Dis -4 and f Is Bis and m is

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Find the local max/min value(s) and saddle points of f(x, y) = x^4+y^4−4xy+1.

A: Given: f(x,y)=x4+y4-4xy+1 To find the local maximum, local minimum and saddle points of f(x,y). The…

Q: Integrate f(x, y) = 4c®* - 0.5y using h = 0.5 with y(0) = 2 from x =0 to 0.5.

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Q: Differentiate: y = V6x8 4x6 - y' = (16z" - 8a") (628 - 42°)2 %3D O y = 48z7-24x5 (6z-4z ) Oy = (4827…

A: We have to find derivative

Q: Let f(x, y)= x'y+2x² and find f.(1,2) and f,(1,2) %3D 3x- y 1.

A: The given function is: f(x,y)=x2y+2x23x-y

Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

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Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: Given a differential equation yy'''+2x=tanx. Given differential can be written as yd3ydx3+2x=tanx.…

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: - If W = xy + y2+1 azw Show that a2w ey %3D дхду дудх

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Q: 을(22 + y7) %3D (25) d. da da d 을 (2) + 옮 (v?) 3D0 d dæ da a function of x and using the Chain Rule,…

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Q: Compute dy/dx using chain rule where y = (u^2+2u)/(u+1) and u = x(x + 1)

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) = 15, f(15) = 2, f'(15) = 7, f'(6) =…

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Q: 1 (3y′)² = (4x²y³ + y)¼y″

A: The given differential equation is: 3y'2=4x2y3+y14 y''

Q: y(6y2-x-1)dx+2xdy=0 I want to see how it was solved using this format. Thank youu...

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Q: Parameterize x(y) = √√y+5y using y = t Ans=

A: The parameterization of x(y)  using  y = t  is  x(t)=t​+5tExplanation:Given expression is…

Q: Prove this equation by deriving F(x, t) =X(x) Y(y). Please show full steps OF OF 2. +2x- =D0 Ditebak…

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Q: 2. (D² + 2D + 1)y= 1 (ex-1)² ANSWER: y = e(C₁+C₂x-In/1-e *1)

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5 5x¹y…

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Q: r1/V1-x 70. (2y + 1) dy dx |-1/Vī=x

A: Consider the provided integral ∫-11 ∫-11-x211-x2 2y+1dydx. Solve the provided integral. ∫-11…

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: r=√{(e^{-y}xcos(x)-e^{-y}ysin(x))^2+(e^{-y}xsin(x)+e^{-y}ycos(x))^2} find r.

A: Given information: r=e-yxcosx-e-yysinx2+e-yxsinx+e-yycosx2   Formula used:…

Q: 5y" — (y')¹ = y³ sinx

A: The given problem is to find dependent variable, independent variable, type , order ,degree and…

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: Find all three of the partial derivatives for the profit function; P (m, r, g)  = rg – m –…

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Q: Consider the following function: H(x, y) 7x'y +-21x'y Find the linear approximation of H(x, y)…

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Q: b) Use the chain rule for partial derivative to find 2 when z = f(x, y) = x²y + ln(x + y) and (x, y)…

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