If U=X and v=x(x-1) (y+1) then the stream line is y=e^((x^2/2-x) + C) – 1 ylgn O İhi O

Q: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

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Q: Let y(N) be the yield of an agricultural crop as a function of the nitrogen level N (measured in the…

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: Minimize Q = 4x^2 + 3y^2 where x + y =7

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Q: ∫ln(7)0∫ln(7)0e^−(2x+5y)dydx

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Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

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Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: y^(5)−4y^(4)+4y^(3)=0 Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants. y(t)=

A: y^(5)−4y^(4)+4y^(3)=0Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants.y(t)=

Q: If = X and v = x (x - 1) (y + 1) then the stream line is y = e ^ ((x ^ 2/2 - x) + c) -1

A: If = X and v = x (x - 1) (y + 1) then the stream line is y = e ^ ((x ^ 2/2 - x) + c) -1

Q: d/dx [x/(x^2 + y^2) ] = * O [(y^2 + x^2)/(x^2 + y^2)^2 ] O -[(y^2 +x^2)/(x^2 + y^2)^2 ]…

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Q: Differentiate. y = In (4x² - 7x+9) y'=0

A: The function is The aim is to find the derivative of the function

Q: Solve the flrst order diflerential equation:…

A: Given differential equation is…

Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: Determine the relative extremes of F (X, Y) = 5X ^ 2 + 6Y ^ 2-XY if X + 2Y = 24

A: Given function is FX,Y=5X2+6Y2−XY and X+2Y=24. We have to find the relative extremes of the given…

Q: 2y´´-5y´+3y=0   y1=e^x

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Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: economists interested in price stability have established that the function p(t) = (p0 - pe)e^(k(a…

A: We are given the function for the price of the commodity:p(t) = (p₀ - pₑ)e^(k(a - A)t) +…

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

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Q: y" + 2y' + 2y = 3te^(2t)

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Q: (b) y = dy dt = [-27e^(9t)-27(t^6)e^(9t)+9(t^5)e^(9t)]/[sqrt(1-t^6)(1-t^6)] (c) h(y) h' (y) -3e⁹t…

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Q: Construct a linear system of equations to determine a quadratic polynomial p(x) = ax^2 + bx + c that…

A: Given f (x) = e^2x quadratic polynomial interpolates  f(x)   p(x) = a x2 + b x + csince p(0) = f(0)…

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

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Q: Solve: x^2dy - y(x+y)dx = 0 O x+y=Ce^(-y) y Ixl=Cx^2 x=Ce^(-x/y) O x lxl = Cy^2 Oy=Ce^(-xy) O y…

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Q: y" – 12y" + 32y = 42e",

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Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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Q: y(t)=(2t-1)(5t-5)^-1, find y'(t)

A: Using Quotient Rule of Derivatives