8.) Match the following differential equations with their phase portraits A.) x" + 10x' + 24x = 0 B.) x" + 2x = 0 C.) x" - 2x' - 3x = 0 D.) x" 4x' + 12x = 0

Q: 2. How many different 6 letter strings can we make with only the letters J, E, R, M, Y, given the…

A: We have to use proper permutations and combinations.

Q: Put the following first-order differential equation in standard form and identify p(x) and q(x). y'…

A: Standard form of first order linear differential equation is  y'+p(x)y=q(x)  where p(x) and q(x) are…

Q: What is the differential equation of the solution: y = C1e-6x + C2e4x ? a. y'' - 2y' - 24y = 0 b.…

A:

Q: Solve the following differential equation: x''(t)-2x'(t)=2e2tf(t);  x(0)=2, x'(0)=-1 where the…

A:

Q: State the order of the given ordinary differential equation. (2x - tan(17x))y"" - x²y" + 18y' =…

A: Given the ordinary differential equation is  2x-tan17xy'''-x2y''+18y'=18sinhx+16

Q: Find the value of a and b for which the given differential equation is exact: *siny + (a - 3)ysinx)…

A: Equation is exact for the values a= 5 and b= -1 Therefore option C is correct

Q: Form the differential equation for the function y = ae3x + be-3x O a. y" +2(y)2 = 9y? O b. 2yy" -…

A:

Q: For the differential equation y'' + 42y' + 152y = 8 cos(8x) Answer to the previous part: P(r) = r² +…

A:

Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

A:

Q: (y – x)(y + x)(y? +x²)(xdy – ydx) = x°dx

A: We will solve this homogenous differential equation by a substitution y=vx So v=y/x

Q: transcribe the following text in digital format

A: In the question, it is asked to transcribe the given text in the screenshot to digital format.…

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

A:

Q: The differential equation ty' = cos² (y) is . ...linear, separable, and autonomous. O.nonlinear,…

A:

Q: 4. For the given differential equation write a particular solution with unde- termined coefficients.…

A:

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

A:

Q: C) The dependent variable y is missing in the given differential equation. Solve the equation by…

A: To solve the given differential education.

Q: Consider the differential equation: y = 3y - 2x Using a pencil, graph the isoclines. Also, using a…

A: The differential equation isFormulas used,

Q: Which of the following differential equations are linear? Determine the order of each equation. y =…

A:

Q: (d) Find an equation for each of the graphs: For graph (1), x(t) = For graph (2), x(t) = = For graph…

A: To find the equations of the given graphs

Q: Solve the following nonhomogenous differential equation: y'''' + 2y''' + 7y'' + 10y' +10y =…

A:

Q: Q-4. Form the first-order differential equation of y = e(sin y+z)

A:

Q: An object attached to a spring undergoes simple harmonic motion modeled by the differential equation…

A:

Q: Solve the differential equation by variation of parameters. y"+ y = sec(0) tan(0)

A:

Q: Suppose that fit) is a solution of the differential equation y' = ty -2 and the graph of ft) passes…

A: Slope of f(t) at any point will be same at value of y' at that point. Here finding f is not…

Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

A:

Q: MATH . For each of the following series, determine whether the series converges or diverges. (Sum…

A:

Q: Determine the order and degree of the differential equation, 3x + 5x² (1²1) ³ - x - xy = 0. 3 dy4…

A:

Q: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex

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.