Find the particular solution of the differential equation that satisfies the initial condition. f'(x) = -6x, f(1) = -2

Q: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

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Q: What function satisfies the differential equation y - y' = 0?

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: The solution of the differential equation In(y')=2x-y is given by

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Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: Find the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

A: Explanation of the solution is given below....

Q: Find the particular solution that satisfies the differential equation and the initial condition. x²…

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Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A: Given differential equation is y''-y'-2y=2 e-x   Let the particular solution of this differential…

Q: Find the solution of the differential equation that satisfies the given initial condition. dP

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Q: -3-x+x. y (0) -2. y(0)

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Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: Find the particular solution that satisfies the differential equation and the initial equations.…

A: Find particular solution to given differential equation

Q: Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2)…

A: Given query is to find the solution of the differential equation.

Q: Find the particular solution to the differential equation when y(0)=3 and (2)=1

A: Given differential equation isy''=y'2x-y'x2-1 The conditions are y(0)=3,  y'(2)=1

Q: a²y"- (x-2)y'=0

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Q: Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an…

A: Given the differential equation: F'x=10x-12x3 Initial condition: f3=2

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Since you have asked multiple questions, we  will solve the first question for you. If you want any…

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Given that f'(x) = 20x3 - 8x and f(1) = 1 then find particular solution. Here i attached solution of…

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: (D4 - 1)y = 7x².

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Find the particular solution that satisfies the differential equation and initial condition. x2…

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Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: To find The particular solution that satisfies the differential equation and the initial condition.

Q: (1 + x³) dy - x² y dx = 0, when x = 1, y = 2

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Q: The differential equation formed by eliminating arbitrary constants a ,b andc: y = ax + bx + cx + 8…

A: In this question, we have to find the differential equation by eliminating parameters.

Q: Find the particular solution of the differential equation using the method of undetermined…

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Q: 1/x+ y+(3y² + x)y =0

A: Given differential equation is of the form,  M dx + N dy=0

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

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Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)…

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Given that: f'x=x3-9x2;     f2=9

Q: Find the particular solution of the differential equation satisfying the initial condition…

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: Find the particular solution that satisfies the differential equation and initial condition. f"(x) x…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given: The differential equation y'tanx=a+y with initial condition yπ3=a for 0<x<π2. To find:…

Q: Hi, can I get help with this problem? Thank you! 3.4

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions…

A: The given differential equation is 2y"+y'-y = x+5 with the initial condition y0=1, y'0=0 To solve…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A: The given differential equation is: 4y dx+x dy=0 ;           y(2)=-0.10

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.