PLEASE ANSWER THE FOLLOWING POINTS: E) IVP'S AND ALL FROM VARATION OF PARAMETERS   y´´ - 4y´ = 6e^3x - 3e^-x y(0)=1 y´(0)=-1 e)  Use the IVP’s to find the particular solution f)  Solve the differential equation by VARIATION OF PARAMETERS g)  Report the Wronskian ?

Q: 6) Solve for y: 3"*1 = 9"-1

A:

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Q: 4. Find the derivatives with respect to x of the function 2 – 3x^2. 5. Differentiate ax² + b to the…

A: Using derivative of composite function.

Q: _6// Solve the differential equation 2y³dx – (yx? + y³)dy = 0

A:

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: Q2: Find the fixed points and their stability for the following differential equation, and analyse…

A:

Q: 3. Write a differential equation to describe each of the following situations. a) The number of…

A: We know differential equation is of the form  dX/ dt = f(t) where X is a function of t.

Q: 1) y = c x2 2) y = ce* + c2e¬*

A:

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A: Given C= initial value= 118  For t=8, P=358 We have to find k

Q: Solve and graph following problems: By Differential Calculus 1. A curve has an equation y = x³ – 3x2…

A: Given,         The equation of tangent and normal lines at 1,-4 and the curve has an…

Q: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

A:

Q: Solve the differential equation y"ty=tan'x

A:

Q: 2. Use calculus techniques to sketch the curve y = Use wolfram alpha to calculate the first and…

A:

Q: 12 Use differentials to calculate solution. √102. Show comp

A:

Q: One of the below is a condition of a linear differential equation. A. dependent variable and its…

A: An equation of the form andnydxn+an-1dn-1ydxn-1+an-2dn-2ydxn-2+...+a1dydx+a0y=F(x) is called the…

Q: 2ry'

A: 1st equation is not a differential equation. 2nd equation is reducible to linear differential…

Q: On the early detection period of COVID-19, there were 557 people verified to have been infected by…

A: Given - On the early detection period of COVID-19, there were 557 people verified to have been…

Q: Show that y=x and yex are lenean inde pendent Solution of the Corres pondinp hamogeneous part ot the…

A:

Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

A:

Q: 2/solve the differentialequation by using methad af Variation of (complete salution is vequired)…

A: Given equation is y'''+9y'=1cos11x               (i) Let us consider y'=z. Then, eq. (i) is reduced…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.