1. y’dx-(xy+ y² kdy = 0 Let the substitution y=2; y=vx; dy=vdx + xdv

Q: (xy² + x²)dy + xydx = 0 %3D

A:

Q: 3. y' + x² = 2x²y 4. (y²e- x²)y' + xy = 0

A:

Q: au au = xt at (x > 0,t > 0) ax u(0, t) = 0 u(x,0) = 0

A:

Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

A:

Q: Solve the differential equation

A: Given,

Q: Solve using homogeneous differential equations

A:

Q: sin x sin y dx + cos x cos y dy = 0 2 mydx — пхdy

A:

Q: 10. (Dª + 8D² + 16)y = 0 4

A:

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

A:

Q: Solve the differential equation xyy = y – 1

A:

Q: (r+2)²y" – 3(r+ 2)y' + 4y = ln(r+2) solve the differential equation

A:

Q: ay" – 4xy + 6y = x solve the differential equation

A: The differential equation is the second order Euler non-homogeneous ODE has the form of    ax2 y’’ +…

Q: D10 + 40D³ + 630D® + 4860Dª + 18225D² + 26244 = 0 %3D

A: In the given question ordinary differential equation is given as:   D10 + 40 D8 + 630 D6 + 4860 D4 +…

Q: y(4) – 8y" + 16y = (3x – 5)e²- solve the differential equation

A:

Q: dy = 7xVy for y + 0

A: The solution is given as

Q: d³y 1. dx³ dy + 6у — 0 dx dx²

A:

Q: 3y" - 20y' +12y= 0

A:

Q: y" + (y')² = 2e¬y

A: Given: y"+(y')2=2e-y

Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

A:

Q: Resuelva la ecuación diferencial. y' =x+ 2y

A:

Q: dy 4х 4х + dx 16 — х*

A: givendydx=4x+4x16-x2thereforedy=(4x+4x16-x2)dxintegrating on both…

Q: 7. ON te 2.

A: We have to solve

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

Q: Differential Equation In Exercises 121 and 122, solve the differential equation. dy 121. teax? dx

A:

Q: ut) + ucx) +v(x) > o. v'x) -3ulx) -2vVI) zO

A: