3x +4x-4 Show that y=2+Vr' + 2x* - 4x + 2 is a solution to y'. 2y-4 Solve the following initial value problem and identify the interval of validity f the solution, dx with x(1)=2 dt

Q: (x+1)y"-(2-x)y'+y=D0

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Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

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Q: Determine a value for r so that f(x) = 11 x' + rx² + 6x + 2 has an inflection point at x = 4. Answer…

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Q: Solve the equation 2 (x²³+ 9x²³ y ² ) dx + e² y ² dy=0

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Q: 3. A function and its first 2 derivatives are given. x² - 4x (x+4)² f(x) = = (x+4)³ (3x - 4) f'(x)…

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Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

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Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: Using variable separable technique, find the general solution of (4x+xy^2)dx + (y+x^2y)dy = 0

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Q: I want solve

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Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: w(z^2+w^2)dz-z(z^2-w^2)dw=0 find the general solution

A: I have solved the given differential equation by homogeneous differential equations method

Q: 4x2 +3x + If f(x) f'(z) - f'(3) =

A: fx=4x2+3x+2xTo find f'x and f'3

Q: nf (x) = 1 – | f(t) dt eşitliğinden f(x)

A: Given πf(x)=1-∫0xf(t)dt                   (1) We have to find f(x)

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

Q: (D5+ D4-7D3³ - 11D²8D-12)y = 0

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Q: エ+5 Solve x+8 6 =1+ x+1•showing all work.

A: The first step is to simplify the RHS by taking LCM. Then we will apply cross multiplication

Q: If F'(x) = f(x) and F(0) = 0, find F(b) for b = 3, 5, 7, and 9.

A: Given graph of f(x)

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby…

Q: y-y"+y'- y = xe* -e-x + 7

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Q: Suppose f'(x) = = 8x8 5x78x²9. What particular solution that satisfies f(1) = - 661 72

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Q: Apæ'/s-1/Apy/s-1 %3D

A: The given equation is: xy=λρx1s-1λρy1s-1

Q: Part 1 Let f(t) = (t² + 4t + 6) (7ť² + 3). Find ƒ' (t). f' (t) Find f'(3). f'(3) = =

A: according to bartleby guide line we do only first part of multiple questions (1)…

Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

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Q: 9x +18 da 18 9x+ 7x7 6. 9x 7r7 18 9x + 18 7x7 18 9r + 11r7

A: Given: I=∫9x8+18x8dx We know that the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: Differentiate the function. A(s) = -- A'(s) = 44 5 X

A: Given: The given function As=-11s4 To find the derivative of the function. Derivative formula:…

Q: i have two answers but am not sure which one is the correct answer and i need help to solve it i add…

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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.