If we use the method of variation of parameters, the particular solution of the following differential equation y" – 3y' = x has the form: Y, (x) = –4 – 2x – O This option ,(x) = --- 27 6. This option

Q: (1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a)…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: 2xy'-y= Iny'

A: Given,

Q: Show that if P(x) #0 the differential equation y' + p(x)y = f(x) is not exact differential equation.…

A: y' + p(x)y = f(x) can be written in the appropriate form dydx + p(x)y = f(x)  ⇒dy +p(x)y dx = f(x)…

Q: 4. Find the derivatives with respect to x of the function 2 – 3x^2. 5. Differentiate ax² + b to the…

A: Using derivative of composite function.

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: The differential equation y"" +9y' = xsin x + x²e²x is given. Which of the followin is definitely…

A: Given differential equation

Q: Given the differential equation y' = x2 + y? Take the Implicit Derivative of this function 2 times…

A: Given, the differential equation                                    y'=x2+y2 then take the implicit…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

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Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: Consider the differential equation: Find the solution which satisfies y(1) The solution is: y(x) = =…

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Q: Find the order and degree of the differential equation 1 5 (y"')³ = k[1 + (y")²]³

A: Given :y'''13=k1+y''252

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: What is the order of the differential equation which has a general solution given by y = Cie-2a +…

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Q: product rule to 3. Use the substitution uy to solve the differential equation xy' + 5y = 3ay

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Q: Find a particular solution of the following differential equation using variation of parameters meth…

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Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: For which value of the constant c is the function y = 15e-® + x + c a solution of the differential…

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Q: 7. The differential equation which has y = C1r + C2x as its general solution is: 4 (a) y" – -y'+ y =…

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Q: The graph of the function f(x) is (the horizontal axis is x.) Given the differential equation a'(t)…

A: The equilibrium solutions are the points where the graph of  f(x)  touches the x-axis or cuts the…

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.