Find the differential equation having the solution as: a. y = C,e¬x + C2e¬2x + x b. y = C, + C2e³x

Q: Solve the differential equation (6D² +13D+7)y = e¯6x — 11x².

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Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: d² + a²y = 0 y dt²

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Q: Solve the differential equation  4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0   To solve: The given differential equation.

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: the

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Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: Q3: Find the general solution of the given differential equation: у" + 3у" — 4у%3 0

A: Ode

Q: Solve the following first order equations: (a) (x²y² + 1)dr + 2r²dy = 0, use the substitution ry =…

A: We have to solve 1st order differential equation using substitution xy = u.

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: Q.3) Find the solution of the following differential equation: dy y-I dr

A: Given differential equation is dydx=y−xy+x.....1. We have to find the solution of the given…

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

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Q: Covert the differential equation into a system and solve the system: D2+4D+5y=0

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