dy x2 + y = xe*. dx Find the integrating factor to the first order linear equation, В. In x С. х D. 1 E. None

Q: t du/dt = u - u2 ln(t)

A:

Q: 2x² +1 -dx r'- 3x+2 4.

A:

Q: v = e4xe^y find vyy

A: Given function is Differentiating partially with repect to y, we get

Q: 1 1. J dx x2 V9x²-81

A: Wr have to evaluate the integral.

Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

A:

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: Find dy/dx of * ye2x + xe2y = 0. %3D

A: This is a derivative problem

Q: 1 d?y X = 3 ; y = u3 + 3u dx?

A:

Q: dy Find for each equation and simplify fully. dx (17x² + B) (11x – A)° (а). у- (5x+4)°

A: Given                             y=17x2+B511x-A85x+46; A=4, B=8 we have to find derivative of the…

Q: x(2y – 3)dx + (x2 + 1)dy = 0

A:

Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find d2y/dx2 if e^y− y = x. Write your final answer in terms of x and/or y, and simplify.

A:

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: 4x (b 2x'e xp

A:

Q: ysin2xdx-3y°cos?x dy -0

A: The given ODE is: y3sin(2x) dx - 3y2cos2(x) dy=0 This can be evaluated as follows:

Q: . dx D. 4t + 7) dt 22. 4 + dx х

A:

Q: -x-1)dx= -e-2 А. 2e е-2 В. C e+2 2e Зе- 2 D. 2e 2e

A:

Q: Solve: dy dr = y +e*y?

A: The given differential equation is dydx=y+exy2. Rewrite the differential equation as,…

Q: Find y'. O A. 2x+ O B. 2x- ОС. 2х+ -| -| |

A: we have y=x+1xx-1x

Q: Determine the required integrating factor: y dx = (ye-2x) dy Oy² O e¹ ОУ 2e."

A:

Q: – by dy 1. dx ах — by bx -

A:

Q: 8. (Зх — у — 1) dx + (9х — Зу + 4) dy %3D0

A:

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: dy d. dx = y(xy3 – 1)

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: Find ㅎㅎ r = Si 14 +15t2 dt. 0 for y =

A:

Q: Solve: За? — 5а — 2 — 0 -, 3 Ox = -2, 1 3 -글, 2 | | ||

A: Given : 3x2 - 5x - 2 = 0