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

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

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Q: Show that the differential equation  (2xy3 - 3y2 + 2xy2)dx + (3x2y2 - 6xy + 2x2y)dy = 0 is exact and…

A: To show that the differential equation  2xy3-3y2+2xy2dx+3x2y2-6xy+2x2ydy=0 is exact and to find its…

Q: y'= (x²y- y)/(y+1);when x = 3, y = -1

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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 general solution of the differential equation or state that the differential equation is…

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

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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

A: The given differential equation is: y'-8x3y=e2x4;       y(0)=2

Q: Find the solution to the differential equation dz 4te dt 3 that passes through the origin.

A: GIVEN: dzdt = 4te3z

Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

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Q: Find the solution of the differential equation that satisfies the given initial condition. 2yev'y' –…

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Q: Find the general solution of the differential equation

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

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

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Q: Determine the form of a particular solution for each differential equation. y'' - 2y' + y =…

A: We have to determine the form of a particular solution for each differential equation.…

Q: Find the general solution of the differential equation.

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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

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Q: (2x + 3)y' = y + (2x + 3)2 ; when x = -1 & y = 0

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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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: a²y"- (x-2)y'=0

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Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: y = Clx+ C2e

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: We have given the general solution y = C1 + C2e2xcos 5x +  C3e2xsin 5x

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: y'= 2.xy /(x² – y² )

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Q: What is the solution of the partial differential equation X

A: x∂z∂x+y∂z∂x=z is first order partial differential equation. For solution we use Lagrange's method…

Q: Find all solutions to the differential equation y '= −5y. Which solution satisfies the initial…

A: Given: 1. 2.  Initial Condition To Find:  All the solutions of the given Differential equation.…

Q: 1/x+ y+(3y² + x)y =0

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

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: X' -1 et x + 3 -2

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Q: 21

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Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

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Q: Solve the differential equation ry" +2 (1- x) y'+(x- 2) y = 2e", if y1 = e" is known as a solution…

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Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: The differential equation: y²x + y² = x²yy' is solved by

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Q: Find the solution of the system of differential equation

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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

A: topic - differential equations

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: Write down the solution of the differential equation: x² y" -4 y' + 4y = In x

A: Consider the expression lnx as t. Differentiate the equation t=lnx and simplify to obtain the…

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.