In Problems 1 to 4, find the general solutions of the given differential equations. 1. d²y dy dx² - - 6y= 2et dx U

Q: Solve the following differential equations. dy/dx + 3y/x  = 6x2 when x=1, y =0.

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Q: 2. Solve the Second order differential equation d'y dy -4 +11y=e* sin 4x. dx dx?

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Q: Find the general solution of the differential equation d²y dy - 6 + 13y dx = 4e2x cos 3x dx2

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Q: dy dx -3х а) +3y= 2xe3* b) t- +3x = 2t°, x(2) =1 dx dt

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Q: Solve the following differential equation: - 5 - Y +x dy dx +y= 5 - U - 1.

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Q: (3) Solve the following differential equations (b) dy dx + 3y 1 1+e6x

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Q: ential equati x²y dy = C

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Q: Solve the following ordinary differential equations: 2) (3y³-x) dx = 3xy-dy

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Q: 3. Solve the differential equation: dy 2x =x+3y, given that when x= 1, y=1. dx

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Q: Find the general solution of the differential equation d2yd2-3dydθ+2y=2sin 2θ -4cos 2θ

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Q: A. In each of Problems 1 through 10, solve the given equations using exact differential equations.…

A: given,          y2-2xy+6xdx-x2-2xy+2dy=0   when x=1, y=2

Q: ५ Exh x dy y dx Find the general solution to differential equations

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Q: 12 -- 36y = 8e * dx 3. Solve the second order differential equation 3 dx

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Q: Solve the following first-order differential equations: QUESTION 1 (x²y + xy-y)dx + (x²y-2x²) dy = 0

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Q: uxiliary equation of + by = 0 are re tion of the different

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Q: QC: Solve the following differential equation: dx² +5dy-6y = 12x - 50sinx dx +

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Q: find general solutions(implicit if necessary ) of the differential equation    (5xy + 2y + 5) dx +…

A: Given (5xy+2y+5)dx+2xdy=0---(1) Compare (1) with Mdx+Ndy=0 Here M=5xy+2y+5  and N=2x Now ∂M∂y=5x+2…

Q: Solve the given differential equation ty' = /1 – y?

A: The given differential equation is ty'=1-y2. Solve the differential equation ty'=1-y2 as follows.

Q: ch of the following equations determine the constant A such that the equation is exact, and the…

A: According to Bartleby guidelines I can solve only first 2 subparts , if you want to solve other…

Q: a) Solve the exact differential equation x-2 dy dx subject to the condition that y 1 4 -2x (x > 0)…

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