The general solution of the following differential equation y(4) – 16y = 32x %3D is: y(x) = ce2* + cze*co s(V3x) y()= e2* + cze 2x + C3 cos(2x) c, sin(2x) + Ax + B +ce sin(v3x)+ Ax +B This option O This option

Q: find the associated partial differential equation to solve Z= f(x + ay) + g(x+by)

A: To Find:Partial differential equation using the above equation.

Q: The complementary function(C.F.) of the differential equation(D – 7)²(D+3)y = 7x is_ O (c1 + C2x)e=…

A: Differential equation and complementary function

Q: The solution of the differential equation 5/1 – x2 ? dy dx 7/1 - y? = 0 is - 5 sin-x – 7 sin-y = C 5…

A: Question is solved.

Q: Example 2: Find the particular solution of (x – y)dx + (3x+y)dy = 0 when x = 2 & y = -1.

A:

Q: The standard form of the following linear differential equation sec(x) y' + csc(x) y = 1 is: O…

A: Option A

Q: Find the general solution of the linear differential equations. (D +4D'y =12 x2 a. y = C, + C2x +…

A: Solved below

Q: Show that the transformation z = log tan (x/2) reduces the differential equation d²y +cotr +4x…

A:

Q: consider the differential equation dy/dx=sin(x)/y for which the solution is y=f(x). Let f(0) = 1…

A: Given dydx=sinxy, y0=1. By variables separation,  y dy=sinx dx Integrating on both sides,

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

A:

Q: 10. From a partially destroyed lab data, following results Lines of regression are: were retrieved:…

A: Solution:

Q: ate the order of the given (1-x)y" - 3xy' + 6y = cos x etermine whether the equation is linear or…

A:

Q: What is the solution of the differential equation 20분 +3분+2분 +6-4y=0? Oy=C₁e¹2 + C₂e²+ C3 cos √r –…

A:

Q: If Var(X+Y)=5, Var(X-Y)=2 and E(X)=1 and E(Y)=2 then Cov(X,Y)= (3/4 (1/4 (4/B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: dx/dt = square root5 - ex,

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: :) 3 1 19. + dx x3 3x 20. | (2.x2 + x – 1)dx 2y4 + 1 / 2y4 Зуз 21. ip- 1 1 22. / (VE+1- + sin x – e"…

A: 19.  Let the given be I  I = ∫3x3 - 2x3 + 13xdx Now integrating given integral , we get  ⇒I = ∫3x-13…

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

A: Solution

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20)…

A:

Q: CO X.

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Q: If a nonhomogeneous linear differential equation has g (x) = sin 5a particular solution? O A sin Br…

A:

Q: find dy/dx of the following:

A: Please refer to the image below

Q: A solution of the Ordinary Differential Equation ry" - 2ay • (r +• 2) y- 0. *>0 is defined by the…

A:

Q: What is the solution of the differential equation (D³ +2D² +D+2) y=0? Oy=C₁e²+ C₂ cos x + C3 sin x…

A:

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.