F(z) = 1 and g(x) = x - 2x + 11. T

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

A:

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: y" - 6y' + qy 2,

A:

Q: particular

A: We find particular solution.

Q: find general solution. dr/dt= -2tr,         r(0)=ro

A:

Q: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

A:

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: In(ax) f(x) has a stationary point at Find a and b. bx 2' 3e,

A:

Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: Find a general solution of y"- 2iy'+3y= 0.

A:

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A:

Q: a. Solve f'(8) for y = Vx – 4x-1 + 2x x² – 6x + 9 b.The y'for y = x – 3 c. The f'(3) for y = v3x² +9

A: Given: a) y=x3-4x-1+2xb) y=x2-6x+9x-3c) y=3x2+9

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 5. y = xArctanx - In v1+x

A:

Q: y" -4y' + 13y :

A:

Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

A:

Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: f(x,y) = (x³ − x)(x² − 1). find fxy(x, ×

A: We have given that ,  fx , y = x3 - x y2 - 1 We need to find , Partial derivative fxy . We know that…

Q: t² - t dt 0, = (x)6 g'(4) =

A:

Q: Find the general solution of y" – y' – 2y = cosh 2t.

A:

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

A:

Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: px + qy=z-a √x² + y² + z²

A:

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: Find the solution of y-x =0 using separable variable method. dx

A:

Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: The discriminant of ax2 + bx + c = 0 is defined by_________.

A: The given equation is ax2+bx+c=0.

Q: f(x) = v2x2 – 13 s %3D -

A:

Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: (b) Find the general solution of: = yx² - xy ax Given z = y when x=1, determine the particular…

A:

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: y" ofy = (x – a)V2ax – x² + a²arcsin ()

A: Given that : y = (x-a) √(2ax-x2) + a2 arcsin(x-a/a). We find y" or second derivative of this given…

Q: 9. Find a quadratic function y = ao + a1x + a2x² satisfying y(1) = 1, y(-1) = 2, and y'(1) = 2.

A: put values and make equations then solve

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.