If f(x) = x2 - 9 & g(x) = 2x - 5 then find the solution for (fog)x) <0

Q: Find f by solving the initial-value problem. = 6x2 - 12x, f(1) = 0 f(x) =

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Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: 2 x= y -9 /x=e -10 -8 -6 -2 2 4 Hy = -1 2.

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Q: Solve the initial value problem : f'(x)= x" – 4x³ + 12x + 18 and f(0) = 6.

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Q: Find the particular solution of x²y" + xy' = 1; y = 0 and y'= 1/2, when x=1.

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Q: The initial value problem (t² – 9) y' + 6 y = ln (t³) y(-5) = 11 %3D has a unique solution defined…

A: Existence and Uniqueness theorem: The IVP: y'(t)+p(t)·y(t)=g(t), y(t0)=y0 has a unique solution in…

Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: Show your complete solution in finding the General Solution of (D³ - D)y = 4x² Use method of…

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Q: Use Fixed-Point method to find solution accurate to within 10 for the following nonlinear equation:…

A: Given equation is, The given initial solution is,  To find the solution of the given equation…

Q: The solution of (1 - y ^ 2) * d * x + (1 + x ^ 2) * d * y = 0

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Q: Find the general solution of (1+ x²)y' + xy = x=1(1 +x²)-/½

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Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: Solve initial value problem f'(x) = x³ – 8x2 + 16x + 1;f(0) = 0.

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Q: Find f(x) by solving the initial-value problem: f' (x) = 3ex + 2x2;  f(0) = 5

A: The derivative of the function, fx: f'x=3ex+2x2; f0=5.

Q: Solve the initial value problem : f'(x) = x1® – 4x² + 12x + 13 and f(0) = 2. %3D

A: The given equation is, f'(x)=x16-4x2+12x+13 and f(0)=2. Integrate the given function as shown below.…

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

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Q: Find f(x) by solving the initial-value problem: f'(x) = 3e2 +2x2; f(0) = 5

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Q: Solve the initial value problem (t2 – 5)x' – 2tx = -2t(t² – 5), x(2) = 7.

A: Given differential equation is t2−5x'−2tx=−2tt2−5......1 and x2=7. We have to find the solution of…

Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: Solve the initial value problem: f'(x)=x^15 -7x^3 +12x^2+14 and f(0) = 7

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Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 +…

Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: Show your complete solution in finding the General Solution of (D³ - D)y = 4x² . Use method of…

A: Given that: (D3-D)y=4x2

Q: Solve the initial value problem : f'(x)=x^{5}+12x+19 and f(0)=5

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Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15

A: We apply differential equation method to solve initial value problem

Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

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Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

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Q: Find the solution of the following initial value problem. g'(x) = 6x5 - 3x2 +8 and g(1) = 30 gx) =

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Q: Solve initial value problem f (x) = x³ – 8x2 + 16x + 1;f(0) = 0 .

A: Given that   f'(x) = x3 - 8x2+16x+1 ;  f(0)= 0 Here we have to solve the given initial value…

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: Show that y = x (1 – e*-1) is a solution | to y" – y' + e"-1 = -1

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Q: Solve initial value problem f(r) = - 8z2 + 16z +1:f(0) = 0. %3D

A: Topic - application of integration

Q: Find the general solution to x*/ = x*y – y°.

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Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: 2y-x = x + 3y + e', 3x' - 4y' = x – 15y + e- |

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Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: 1 Find the general solution of x'y" +xy' -y= x+1

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Q: Find the general solution of (2x –y) = 2y – x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.