Q.4 Use the one sided Greens function to solve the I.VP. 1 12y"-6y=nt, 6 (0)=1/² y'(1) = y(1)=-

Q: 4. For y' = y3 +y² – 6y, Find the critical points. Draw a phase diagram and mark the critical points…

A: Given y'=y3+y2-6y Given a differential equation y'=fy a point y0 is said to be a critical point if…

Q: Differential Equations homework.

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Q: For a certain curve, the point of contact of each tangent to it bisects the part of the tangent…

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Q: Solve the differential equation dy dx = 6y, and find the particular solution satisfying the initial…

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Q: Find the eigenvalues and eigenfunctions for the following boundary value problem (with X > 0). y" +…

A: We have the given differential equation..Now the auxiliary equation can be written asthe general…

Q: 1. Solve y' = "ty´, with initial condition y(1) = -2. x2+ +y? xy

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Q: Q.3 Under what conditions on A and B does the B.V.P x²y"-3xy' + 3y = e ** sin 7x, y(1) A, y(2) = B,…

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

Q: Exercise: Use reduction order to find a second solution y2(x) 1. y" + 16y = 0, yı = COs 4x

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Q: Solve the following initial value problem: xy' = (y – x)' + y; y(1) = y (1) = - 2

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Q: 4. Consider the second-order differential equation (D+1)y=2 cos(x)+sin(x). (a) Use annihilators to…

A: (a)   Given DE is  D2 + 1y = 2 cosx + 3 sinx              Multiply both sides with the annihilator…

Q: e) xy' + y = 5x

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Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: 4(g-) Sn+ル(2++)&y= Z =ス

A: Solve ( dy(x))/( dx) = -((x^2 + y(x)^2 - 1) y(x))/(x (x^2 + y(x)^2 + 1)):Factor:(x^3 ( dy(x))/( dx)…

Q: Solve the boundary-value problem y" − 8y' + 16y = 0, y(0) = 3, y(1) = 0. y(x) = help (formulas)…

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Q: Assuming a, b and k are constants, calculate the following derivative. ([1]) Find a value of k so…

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Q: Find the general solution of the given system. X' x = (10_-5)x 8-12, X(t) =

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Q: x³y" + 3x?y" = 2x + 1

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Q: Given that y₁ (x) = x is a solution of the differential equation (1-x²)y" + 2xy' - 2y = 0, x =…

A: Given differential equation  is a solution and the second solution is of the form

Q: bernouilli differential equation, using let v substitution

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Q: Draw isoclines for the differential equation y' = 1+x-y and then choose which of the following…

A: Isoclines: The lines in the xy-plane in which the slope of the function is always same whatever be…

Q: Identify the degree of each equation that are homogenous. 1.4x-3ху+y? 2. 2x + Vx2 + y² 3. Vx2 – xy

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Q: 3. A dead body was found within a closed room of a house where the temperature was a constant 70°F.…

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Q: dx dt dy dt = 2x+y, x(0) = 0, y(0) = 2 = 3x-2y vd bouleb ai

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Q: Euler's diFFQ 3. Eqc) ((x) -24(x)=x(y しx1) ucx1-2uしx1 = x 1u(x) )

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Q: Use the Intersection Method to find and classify equilibrium for the differential equation

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Q: a. Solve the ODE y" + 3y + 2y = 0. b. Use the method of undetermined coefficients to find a…

A: We can solve the given differential equation using method of undetermined coefficients. In this…

Q: Given f(1)=+4, Given f (t)= 0, Ost<8 #6a.) find F(s)=L {f(t)}. t28

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Q: Q.7 Solve the Sturm-Liouville problem 2y+xy'+(2-1)y=0, y(1)=0, y(e)=0

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Q: Brine containing 3lb/gal of salt enters a tank at the rate of 4gal/min and the solution well-stirred

A: Given that the initial amount of salt is zero( because of pure water) Rate in 4gal/min Rate out…

Q: Linear Alegbra and Differential Equations

A: SOLUTION 5 :To find the matrix [T]σσ​ for the linear transformation (T) with respect to the standard…

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.