2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1 ------- (d)ex

Q: 2. :. (xy²+x-2y+3) dx + (x²y-2x-2y) dy = 0

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Q: x(1-x2)2y'' - (1-x2)2y' + x3y = 0  Cauchy - Euler differential equation your solution.

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Q: y =1+r+y+rY =D1+x-

A: A differential equation is an equation that consists of a differential coefficient in combination…

Q: 2-) f(x) + 3f² + 2f = b(x) Solve the differential equation given above.

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Q: The differential equation y" + p(x)y' + q(x)y = 0 is known as a homogeneous second-order linear…

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Q: The solution of the Ordinary Differential Equation y(3) - 4y" + 5y' = 0 is: a. C₁+e²x (c₂cos(x) +…

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Q: 3] The auxiliary equation of the Linear Differential equation with real constant coefficients…

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Q: What is the general real solution of the differential equation x3) – x(1} - 2x = 0 (the given…

A: The solution of linear homogeneous differential equation is defined by the roots of its…

Q: The differential equation y' = √2x−y +1 +2 has the solution 3

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Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: The solution of the exact differential equation (2xy2-3) dx + (2x²y + 4)dy = 0 is: O None of them…

A: Ans- To solve the given differential equation, we need to check if it is exact. For that, we check…

Q: Show that the differential equation below is an exact differential equation, and solve the general…

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Q: Q5) Determine the general solution of the simultaneous differential equations:

A: To solve this system of simultaneous differential equations, we can follow these steps:Write down…

Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e²x)/(x4) ○ A.y…

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Q: Solve differential equation 3x ý – 3ý = e3* – 12x+39 -

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Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: Consider the differential equation x²y" - 7xy' + 15y = 0; x³, x5, (0, ∞). Verify that the given…

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Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e2x)/(x4) O A. y…

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Q: The general solution to the differential equation y"+10y'+(e²x-7)y=0 1 y=f(x)(C₁ Ja (g(x)) + C₂ Ya…

A: The Bessel differential equationx2y″+xy′+(x2−n2)y=0When n is integer .The general solution of this…

Q: (1 point) Find the solution of the differential equation xy' + y = y² that satisfies the initial…

A: The differential equation is with the initial condition .To Find:The solution of the differential…

Q: (1) (#)* + #+ 2 += =² + y? = 0 (ii) ey" +ry = 2y (iv) In(y") + 2y - y = 0 %3D

A: As per given by the question, There are given four type of the equation and which of these are…

Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: (x² - 2xy+3y-7)dx + (3x − x² + y³)dy = 0 (2y + 1)dx + (x + 2) dy = 0. y' + 5y = e-3x

A: 1) x2-2xy+3y-7dx+3x-x2+y3dy=0 solve the differential equation differential equation is of the form…

Q: The math problem is (3xy^2-2y^3+3)dx = (-x^3+6xy^2-2y)dy  I believe this is a Exact Differential…

A: We have to show that given differential equation is either exact or not.

Q: Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1) The general solution of the ordinary differential equation (p- x)(p – y) = 0 , (p = ) is (a) (2y…

A: We need to find the general solution of p-xp-y=0 , where p=dydx We have p-xp-y=0 Just equating both…

Q: 3. a) Use the substitution u = -x+3y to solve the differential equation. -x+3y)y'= 1 b) Clearly…

A: After substitutions, separate du and dx.