8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 + у2 - ху — 1 %3D Сх %3! C. x2 + y2 + xy - 1 = Cx D. x2 - y2 + xy - 1 = Cx www

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Q: Find the solution of the differential equation у" — 16у 3D 2е\x y = C,eªx C2e¬4x + +xe4x а. 4 b. y =…

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Q: Find the general solutions of the differential equations in Prob- lems 11. y(*) – 8y(5) + 16y" = 0…

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: 45. The solution to the differential equation 3x dy - 2y dx = 4yx^3dy is O y^3 = x^3 y^2 + cx^3 O…

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Q: 1. Determine the special solution of the Differential Equation y" – 2y – 3y = 64xe¬* with %3D…

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Q: 2. Get the general solution of the differential equation (x + 3y - 5)dx + (x + 3y + 10) dy = 0. (10…

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Q: Suppose we have the following system of linear differential equations: x' = 2x – 2y y = 2x – 3y. -…

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A: we have given particular solution of the given differential equation.

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Q: Determine the solution of the differential equation y' = 2y + x2 + 5 1 1 X- 2 11 -2 X' 2 + Ce-2x а.…

A: Given: y' = 2y+x2+5 dydx-2y=x2+5   Linear differential equation is of the form dydx+Py= Q, where P…

Q: Find the general solution of (xy + 4x)y = 5y² + 4xy². a) Oy + 12y- = -5 In |x| – 16x + C b) Oy - 4y-…

A: First order non linear ordinary differential equation.

Q: Solve the ff. differential equations by applying the appropriate substitution. dy = 2+y-2x+3 1) dx…

A: Since, you have asked multiple questions as per company guidelines, we will solve the first question…

Q: Show that y = 3x et +e-3x is a solution of the differential equation y' + 3y = 3ex. 4 y = 2ex + e-3x…

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Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: 27. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if at x=1, y=0 is -…

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³…

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Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Find the solution of the differential equation y" – 3y' + 2y = 2x3 – 9x² + 6x %3D a. y = C,ex +…

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Q: The characteristic equation of the differential equation 2 y (4) + 11 y (3) + 18 y " + 4 y' - 8 y =…

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Q: 2. Get the general solution of the differential equation (x + 3y – 5)dx + (x + 3y + 10) dy = 0. pts)…

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Q: Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y =…

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Q: - Find the general solutions of the differential equations 6. x3 + 3y – xy' = 0 7. xy² + 3y² – x²y'…

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Q: Solve dy 4y dx x(y - 3) By using the method of separable variables. 1- y - 3 Iny = 4 ln x + C Option…

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Q: Find the general solution of the given higher-order differential equation. y(4) – 2y" + y = 0 Oy =…

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

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Q: 2 1x + 8yy' = 0 that satisfies the initial condition = 3 3. Find the particular solution of the…

A: Differential equation problem......

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

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Q: What is the general solution of the following differential solution? y" – 2y – 15y = -5e² O cjet +…

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Q: The differential equation dy x-2y+3 ax 2x+3y-4 = is reduced to [homogenous or separable

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Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' -8D² +15)y = 0 a.…

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Q: 7. The general solution of the differential equation x^2 dx - (y+1) dy = 0 is O zy^2 + 3y - 6x^3 = C…

A: Topic:- application of integration  Note:- as per our guideline if more than one question uploaded…

Q: Solve the given differential equation (2x – y + 2) dx + (6x – 3y+1) dy = 0 O 91z – 21y – 5 ln(14x –…

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Q: Solve the second order differential equation ÿ + ỷ – 6y = 8e* + 3x 1 A:y = ce2x + c2e-3x + 2e* + 12…

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Q: What is the differential equation of the solution y = C1e 9¤ + C2xe Ya -9x + C3e7¤ ? O y" + 11y" –…

A: To find the differential equation for which the given solution belong .

Q: 1. Find the particular solution of the DE: y' = (x^3) + e^(10x) + 7 if y = 20.1 when x - 0. You may…

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Q: Which one is the fourth order differential equation whose solutions are  e^(3x),e^(−3x) and  xe^(2x)…

A: We will use basic of ode.

Q: The differential equation a"+2x-5x sin t is equivalent to the system Sa' = 2x – 5y x = 5x -2y y =…

A: Please refer the attached image for complete solution.

Q: Is 6x+6y+45ln(2x+6y-25)=C is the general solution of the differential equation (x+3y-5)dx +…

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Q: Solve the general solution of the given DE * dy = (-5x + y)² – 4 dx 3 (1+ ce6x ) 3 (1 – ce6*) y = 5x…

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Q: What is the general solution of the differential equation: yiv + 6y''' - 39y'' - 124y' + 480y = 0…

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Q: –7 + 12 d5x 7) 25 d*x -7- dt5 d²x + 12 dt3 + 8. = 0 dt4 dt2

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