dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt become linear with a substitution v=y^ -1 None of these are true

Q: ivative of p = 2xz nes maximum in t 3k

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Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: find the derivative of - (z+j)?

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Q: Rewrite the equation with the variables separated. hh' = 6t²dt O hdh = 6t dt dh 6t2dt h O 6hdh =…

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Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

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Q: Find the y- intercept of a straight line passing through the point(2,4) whose gradient is 3.

A: Given that The point  x1,y1=2,4 The gradient  m =3

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: Eliminate the arbitrary constants: y=c_1 e^x+c_2 e^2x+c_3 e^3x O A. yA"+3y^"-9y+3y=0 O B.…

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Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

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Q: 2) Solve the equation y' = Y 4x²y + x

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Q: y" + xy' = 0, x0=0

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Q: 22. Reflect in the x-axis. D 4+ 3- -6 -5 -4 -3 -2 F2 -2 4- -6- a. D'(-3, 4), E'(-6, 4), F'(-1, 0) b.…

A: When a coordinate is reflected about the x-axis then its y coordinate remains the same but the sign…

Q: 3yY = (4x²y3+ yF/" %3D ||

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Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: find the solution (4D^2-4D+1)y=0 when x=0, y=-2, y'=2

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Q: Rewrite the following equation with the variables separated. ,2 y' + xVx²+1 = eYxx²+1

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Q: find the orthogonal trajectory of у^2-Сх^3-2

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Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: ha)= Jo So Sin't dt

A: We have to find the given integral .

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

Q: solve the ODE : xydx + ( x^2 + y^2 + 1 ) dy = 0

A: Solution: The objective is to find the general solution of the given differential equation