Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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A: In this question we have to find order of differential equation.

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Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

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Q: dy 5. dt = e&-t)secy(1+ t²). %3D

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Q: yJzスこナる dy t xJ (A ZXZ+3

A: given differential equation is variable separable differential equation we will first separate the…

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +…

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)…

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A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

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Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

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Q: Solve the differential equation by using the linear equation method 2r dt +4

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Q: Find the integrating factor of the non-exact differential equation : (3x²y+6xy+y³) dx+3(x²+y²) dy=0

A: Given a differential equation, 3x2y+6xy+y3dx+3x2+y2dy=0. To find the integrating factor of the given…

Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

A: We can solve the differentia; equation as follows:

Q: Determine the differential equation that is satisfied by x(t) = c,e3t + cze¬t – te-t

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Q: Classify the following differential equations according to type, order, degree, and linearity. Also,…

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Q: Find the general solution of the differential equation: y" – 2y - 3y= - 3te. Fi: of the…

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Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t…

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Q: Q4 A) Solve the following separable differential equation dx = x2 - 2x + 1 dt

A: Let's solve diffrential equation.

Q: Determine the solution of the 1st Ordered Differential Equation: 3(x² + y²)dx + x(x² + 3y² + 6y)dy =…

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Q: An integrating factor for the linear differential equation Y' - 2y = 12x is l=

A: The given differential equation is y'-2y=12x. Clearly, the given DE is a first order linear…