y = -x2 – 2x

Q: -3X=8 Find x aud y

A: Differentiate both sides with respect to x…

Q: y = x(x-1) 2K

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 6x2dy-y(2y3+x)dx=0

A:

Q: y = (x² – 1)lnx

A:

Q: 1. y = 1+3x-x2

A: Since there are more than one question, only one question is to be answered. A function is given by,…

Q: x = 2e* y = 4t – t

A: This is the problem of the application of Integral calculus.

Q: y=f(x) A1 3 15

A:

Q: -2 y = f(x) 2.

A:

Q: Vx + x y = 3 – x2

A: Using Quotient rule fxgx'=f'x.gx−fx.g'xgx2

Q: 3x+y>-1 x+2y <8

A: Equation of first line is 3x+y=-1 For x=0, y=-1 and for y=0, x=-0.33 Equation of second line is…

Q: Find y'when ye2x = 3y+ x² and y(0

A:

Q: y' = y – xy³e¬2x

A:

Q: Solve the system

A: x+3y=-1  →12x-y=5     →2

Q: Let I = 3x dxdy. y-17+y²

A: To find Region of given integral by shaded region

Q: Find the domain

A:

Q: Find y(x)  y"-8y'-20y=0

A:

Q: Find y' and y "   y =x2In(2x).

A: Given: y= x2ln2xDifferentiation Formula:ddxlnx=1xddxxn=nxn-1ddxuv=uv'+vu'

Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: y – 3 = (x+1)

A: To plot the points:

Q: x – y = 2

A:

Q: (x – 1)y' + 2y = 0.

A: Follow the steps.

Q: /1-(r-1)2 1 dydr. 0.

A:

Q: y: x22メ-3 %3D メ+

A: To find the domain of the function, first of all we will find the points where the function is not…

Q: Find y". y = x(3x + 1)* y" =L

A: Given function is  y= x(3x+1)4  We have to find : y".

Q: (Dー)y=0 findyc

A:

Q: Find dxdz -2 -3lnax) a= constant

A: find d2ydxdz y=(z14-3lnax2)-2

Q: y'(x) = 9x- 10x°, -9- y(1) = 0 y(x) = D

A:

Q: - y=(x² +3x+1)*

A: on doing differentiation with respect to x

Q:

A: Given,       x-x=

Q: y = (x² – 1)'nx

A:

Q: y 2) у'%3 x+/xy

A: See the solution.

Q: ydx-4xdy=Dg°dy *-4 when y=1.

A: Consider the differential equation            dxdy+P(y)x =Q(y) Integrating factor ,I.F =e∫P(y) dyand…

Q: y'(x) у(1) — 0

A:

Q: X+y=-1 2x+9y=12

A: Solution: The objective is to solve the given equations

Q: Y (2x) x+18)° (3y + 1)'

A: To find the value of x in the inscribed quadrilateral inside of a circle.

Q: Find y". y = x(3x + 2)*

A:

Q: X 23 y + 4y = 0

A: Solving second order differential equation:-

Q: 2x - 3y=- 1 -x + y =- 1

A:

Q: (D2-3D+2)y=xe*.

A:

Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: y = X; a = 0

A: The derivative for the real function f, if limh→0 f(a+h)-f(a)h has a limit as h approaches zero this…

Q: y'e +x ア-2pe 1/

A:

Q: (x² - 4xy - 2y²2) dx + (y² + 4xy - 2x²) C

A: given ODE x2-4xy-2y2dx+y2+4xy-2x2dy=0

Q: Write y '(t) = (t2 + 1)/y3 in separated form.

A: y'(t)=dy/dt

Q: Find y' when ye2x = 3y+ x² and y(0)=3

A:

Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…

Q: ンX>0 y3

A: Given: y'+yx=5y3

Q: Find y' when ye2x= 3y+ x and y(0)=3 A -4 -6 -5

A:

Q: y' = X 2 h

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.