Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: u; - c2uxx = 0 and verify that u = esin 3x is a solution for it if C² = 1/9

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A: Given that f(4)=-5 We have to find what is the numeric value of f(0).

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A: Follow the steps.

Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -32 +42e-2t NOTE: Write arbitrary constants as c₁,…

A: Linear differential equation  where  are functions of x or constants.Then Integrating factor (I.F.)=…

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: 23 a. Use the data points (7, 15400) and (13, 22600) to write a linear model of the form: f(t)=mt +…

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Q: Can you answer it and explain your steps

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Q: Classify the equation as separable, linear, both, or neither.

A: ydydx=2x+y

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A: NOTE: Refresh your page if you can't see any equations. . here we have a square root function so…

Q: Q1. Classify the given equation according to it's linearity and write the name of the equation.…

A: x2+2xy-y2dx+y2+2xy-x2dy=0 The given equation is first order linear differential equation. The…

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Q: Az Solve j=1(a-3).where r and "a are constant.

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Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -Y2+33e-2t

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Q: Which of the following is a linear equation? 1/y = 2x + 1 y = ? - 0.5x     y2 = 6 + x y = x2 - 4…

A: A linear equation is an equation that can be written in the form y = mx + b, where m and b are…

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: –…

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Q: 3 + 4х? — 9а — 36 y = – 9x — 36 4а? + 28х + 48

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Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: Verity thaf y = 4+ C2x + C3xlnx + 4x is a solution of x'y" + 2x<y" - xy'+y = 12x

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Q: Find the real solutions of each equation. Verify your results using a graphing utility.

A: Given equation is: t4-16=0 Solving we get, t22-42=0⇒t2+4t2-4=0⇒t2+4=0  ;   t2-4=0⇒t2=-4  ;…

Q: =). Solve the equation zxx = x² + xy² when x = 0, z, = y³ and when x 2, z = y. %3D

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Q: Let c, d e R and c > 2 + d. Show that the following equation has two distinct real solutions: x + cx…

A: Consider a quadratic equation αx2+βx+γ=0 So the roots of the above quadratic equation are given by:…