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Q: Sollve the Differential Equations yzy¹+y = e sinx

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Q: Write a differential equation admitting y(x) = (e^x) + 1 as a solution. Please explain or show…

A: Detailed solution is given below.

Q: Find the differential equation of f(t)=(3e^2t + 4cos(2t))² What its type of equation?

A: We find the differential equations.

Q: Find an exponential equation y=Ce^kxt hat passes through the points (0,2) and (5,25). For what value…

A: Consider the exponential equation in terms of y and x as variables and C and k as constants.…

Q: find the general solution for this differential equationdy/dx = e^(-y)+1

A: Find the general solution for this differential equation

Q: d²y dy d³y dx + a1' dx² + aoy = 0 dx + az° x³

A: Let y=eλxGiven: The differential equation:a3d3ydx3+a2d2ydx2+a1dydx+a0y=0To show: y is the solution…

Q: Solve the differential equation. y' = e^(3x + 2y)

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Q: find the general solution of the differential equation dy/dx+ycotx=5e^cosx

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

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Q: Solve the differential equation. (y^2)*(y") = y' Please show work!

A: The given differential equation is: y2y''=y'. We have to solve the given differential equation.

Q: the function y(x) satisfies the differential equation: 4d^2/dy^2 +4dy/dx +y=e^(-3x). find the…

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Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: Solve the differential equation using simple substitution. dy/dx = e^(x+siny)

A: Given differential equation is: dydx=e(x+siny) Rewriting given differential equation:…

Q: Which of the following is the general solution to the differential equation t dy = 6te2 + y(2t 1) ?…

A: Given:- t dy/dx=6te2t +y(2t-1)  To find:- General solution of given differential equation

Q: verify that the function y=e^-3x is a solution to the differential equation d^2y/dx^2+dy/dx-6y=0?

A: To verify the function y=e-3x is a solution of the differential equations d2ydx2+dydx-6y=0.  That is…

Q: Solve the non linear differential equation e^{y}\left(\frac{d y}{d x}+1\right)=e^{x}

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Q: Solve the differential equation by using variation parameter method y''-6y'+9y=8+e^-9x

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