ind the solution of the following initial value problem. 4y" - y=0 y(-2) = 1, y/(-2) = -1

Q: x1 = X2 = Solve the following initial value problem: d 15 4 4et ²-(4 15 ) ² + ( 16 ) = dt 64 -16et…

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Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: Find the general solution of dy -2x6 dx y-4

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Q: 04/ Solve the Bernoulli equa 3 y +y-x'y* = 0

A: Given equation y'+(3/x)y -x^2y^4   Given equation is of the form dy/dx+py=Q(X) We will evaluate as…

Q: (2) Solve for y in terms of x In (2y+1) + 3x = 1n (4) -1 given

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Q: Solve the initial value problem. -7 4 y' = у, у(0): -6 7 -4 |

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Q: Solve the following non-linear equations manually using: c) Simple Fixed Point Iteration (10…

A: The equation after substituting is as follows: 200×106=0.9×0.85×20.7×a×300480-a2 Simplify.…

Q: Obtain the general solution of this equation.

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. Find the general solution to y" – 6y" = 3 – 6e2z

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Q: 5. y"+(x- 2)y = 0. Solve for about x =2

A: Given differential equation is ,                                     y" + (x-2)y = 0 (.)    x = x0…

Q: -zy=0

A: Topic- Differential Equation

Q: dy Solve the initial value problem: + 2y = 6e¬x; y(0) = 8

A: Since the given differential equation is first order linear differential equation so we first find…

Q: Use variation of parameters to solve the same ODE in the previous problem y" - 9y = 4e³1

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Q: 2. Find a two-term approximation to the two roots of (1-c)r² - 2x + 1 = 0.

A: Given , (1-e)x2-2x+1=0

Q: 3) Debermine the explicib solution to tha Initral valve Prablem ylo1= 2 %3D

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Q: (c) Solve the following IVP by separating variable. 2(y - a)da + (3a + 4r + b)dy = 0 Using initial…

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Q: 4. Find the general solution of y(1– xy)dx + xdy = 0 1 1 a.y = b.y = x(Inx + C) x(-Inx + C) 1 c. y =…

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Q: Help me fast so that I will give Upvote.

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Q: Q/Solve the following initial - Value Problem: хе x ex³dx + (x³²-1) dy=0

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Q: (b) Solve y" +y - 6y = e2t.

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Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: Solve x-x – 0.12 = 0 by starting from X0 = 1.

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Q: Write the general solution to y" + 5y' - 6y = 0.

A: given equation is y''+5y'-6y=0 rewrite the equation in the form D2+5D-6=0 where  D=ddy solve for D…

Q: A $ 100 deposit is made into a college fund at the beginning of each month for 10 years. The fund…

A: Consider the given information. The deposit amount is $100. The rate is 9% and the time is 10 years.…

Q: Bhavika Investments, a group of financial advisors and retirement planners, is providing advice on…

A: Let x represents the dollars invested in stock fund and y represents the dollars invested in market…

Q: y" + 6y' + 8y = 3e-2# + 2x

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Q: 2. Find the solution y = f(x) to the equation x² + y²-2³=0 near each of the following points: (a)…

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Q: 22. Suppose ao=2 and a₁ = 16. Give the closed form equation for an. (a) an = 4.32.(-2) n (b) an =…

A: Given that

Q: dy 3. Solve dx = -8xy² +4x(4x+1)y-(8x' +4x² -1) by knowing u = x is a solution.

A: Given differential equation is dydx=-8xy2+4x4x+1y-8x3+4x2-1             …(1) y=x is a solution of…

Q: 5. Find general solution yu -Gy? +10y" = 0 %3D

A: Y(X) = c1+c2x+(A sinx+ B cosx) e3x Where c1,c2, A, B are constants.

Q: e + xy + 4x = 1 ise y"(0) =?

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Q: 5. The function y₁=+1 is a solution of (1-2-2³)+2(1+)/-2yy=0. Find the general solution.

A: PLEASE NOTE: There is a slight  typing mistake in this question ,the differential equation should be…

Q: Two balls are thrown simultaneously from the same initial height. For the first ball, the height of…

A: The double derivative test is done to locate the maxima and minima for a function.  The following…

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…