y" – 10y + 25y = e5x

Q: (2rz - yz)dr + (2yz – zr)dy – (² – xy + y²)dz = 0.

A: Given that, 2xz-yzdx+2yz-zxdy-x2-xy+y2dz=0

Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: Solve y′′ + 4y = u2(t), y(0)=1, y’(0)=2

A:

Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: y" + 2y' +y = e-*

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

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

A:

Q: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: (tVE2 + y² – y)dt + (y/E² + y² – t)dy = 0o %3D |

A: We will find out the required solution.

Q: Simplify

A: Given: To simplify the expression       (2x2 y-5) (6x-3 y)…

Q: dy ニ 3 x +y-2

A:

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: dy * + 2(t + 1)y² = 0, _y(0) = - ip 1/8

A:

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

A:

Q: 2y dy y + e

A: ∫e2y7+eydysubstitude u=7+ey→dudy=eydy=e-ydue2y=(u-7 )2 ⇒∫(u-7 )2udu⇒∫(1-7u)du⇒u-7ln(u)put…

Q: Find ax dy x-2–1 given y = 2x3

A:

Q: -12 XY and y=-S whenxe4

A:

Q: find the general equation of : x^3dy+xydx=x^2dy+2ydx  ;y=e when x=2

A:

Q: 2x Aegl ää Jas y(0.1) d y(0)=1 , h=0.05 y' = y - y

A:

Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: Calculate (ay² + y) dy dæ. 3.

A: We use the properties of integrals to evaluate the given integral.

Q: dy 15 +4y-042

A: ∫115+4y-4y2dy

Q: Dyy 2y-x; %3D

A:

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

A:

Q: y"-2y'+y = e* Inx

A:

Q: 1 3- S-x2 3 S y, dx 3 4- J2 (x+3)*

A: 3.∫1x2-x2-13 dx4.∫223(x+3)4dx

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: y" +2y'+ y = t O y = t-2 O y= 1/2 (t) O y = t O y = 2t -1

A:

Q: in yy = 2 y-x; %3D

A:

Q: y"+ 2y' +y =e* x-

A:

Q: 1. . 2 y² +4 - dy y

A:

Q: d²y B Show whether y = Ax² + · x2 is a solution for x2- dy + x dx + 3y = 0 or not. dx2

A: If y=Ax2+Bx2 is a solution for x2d2ydx2+xdydx+3y=0...(1) then it satisfies equation (1).

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: y" + 4y' + 13y = te-t %3D y(0) = 0 y'(0) = 2

A:

Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: dy If dt = -10e-t/2 and y(0) = 20, what is the value of y(6)? %3D 20e 6 20e 3 20e -2 10e -3 Se3

A: We are given the differential equation dydt=-10e-t/2 and y(0)=20. First, we will be solving the…

Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

A:

Q: What is diffential equation of y"-5y'+4 when y(0)=1 and y'(0)=1

A:

Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: yz 4. II »z dr dy dz Jo

A:

Q: dy y2+1

A:

Q: d²y dy +y=1²-2t +3 4- dt? dt

A:

Q: | 3yVT – 3y² dy

A:

Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

A:

Q: y = (2x + 1)v2x+1

A:

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

A: