Elementary Differential Equations (Upvote will be given. Please write the complete solutions legibly. No long explanation needed. Box the final answer.) Find the general solution. When the operator D is used, it is implied that the independent variable is x.  (4D4-8D3+7D2+11D+6)y =0.

Q: find the general solution of the pictorlal differential equation.

A:

Q: (ey – y cos xy)dx + (2xey – x cos xy + 2y)dy = 0

A:

Q: d³y --13 + 6y = 0 4 dx3 dx

A:

Q: dy 3x-5y+13 5x-y+7 #1) dx

A:

Q: 9. Tell whether (9, 2) is a solution of y <4x+ 1. a. Yes, (9, 2) is a solution of y < 4x+ 1. b. No,…

A:

Q: Solve for x. Show your work. 4x + 5 = 23 4x - 5 = 8x +7- 6x 6. 5.

A:

Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: 5. (x + 2y + 3) dx + (3x + 9y − 5) dy = 0

A:

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: 2x dy + y(2 + y²x) dx = 0

A: The given differential equation is

Q: Q7// find the general solution 1 (sin-ix + =y)dx + sec-1xdy = 0 xVx² – 1

A:

Q: (2rw + w - ve"2)dv + vdw = 0

A:

Q: Solve. Vy +4 - y+2 = 0 3. Solve. Vĩ +1 = Vx +2 2.

A:

Q: 3 U++ виху + 2 Иду - зих -3 Uly = то о 0

A: uxx+3uxy+2uyy-3ux-3uy=0

Q: d³y d²y 4. dx3 dx3 dx -dy + y = 0

A: Consider the given equation. d3ydx3−d2ydx2−dydx+y=0 Now, make the characteristic equation.…

Q: Find the general solution: ydx- (е^у+2хy-2: А. ху^2-се^2у-2(у+1) е^у О В. ху^2-се^2у-(у+1) е^у О С.…

A: Given that: ydx=(ey+2xy-2x)dy

Q: (D³+ 7D² + 6D)y = 0

A: We have given (D3+7D2+6D)y=0.

Q: dy _ (y² +4)ln x 5. х. dx In(y + 4)"

A: Find the general solution

Q: -(1 + 4xy– 4x²y)dx + (x2 – x³ )dy = 0; when x 2, y = %3D %3D

A: Homogenous linear differential equation: dydx+p(x)y=q(x) Here p(x), q(x) are functions of x. Find…

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Given that the equation y2+xydx-x2dy=0. Find the particular solution of the given equation when…

Q: 6y' = y*sinx У (0) — 1

A: