f(x) = 3xy)°. 20x y3 y9

Q: 3. f 3/2 y dydx (I wz dx dy dz. 4.

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Q: d/dx (dy/dx)` x=1, , where y = x3 + 2x - 11

A: To find: The value of ddxdydx at x=1. Given: The function is y=x3+2x-11. Formula used: Power rule of…

Q: (d) y" – 4y' + 3y =²*sin(t/2)

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Q: (f) / sec“ y dy. tan5

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Q: d'y dr2 dy - 2 +y=3 e4x, given y(0) dx 1 and y'(0) =4; 3.

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Q: Evaluate | (6x² +2y²) dx + 4xy dy, where C is given by x = t. y = t,

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Q: Find the solution. 2y dy =x?y²sinx dx

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Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: of x = Y ? x+y dy x-y Q2 Find dx

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Q: 2x= y+e *t %3D 3y eSt

A: In these questions, we have to find the determinant for the system of the differential equations.…

Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: Q2 Find (d y/d x)& (d'y/dx²) y еx cos ху 3 У

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Q: dy ·Given y = 2u² and u = 8x- 1, then dx

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Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: d²y ex 1. Find dx2 for y = %3D (2x²–3)

A: According to our terms and conditions I have solved first question for next question repost

Q: y" + 4y = cos(t−3)+4t, y(3)=0_y (3) = 7

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Q: dy re: (e + e-")- = y² (separation of variables) da

A: Given that: (ex+e-x)dydx=y2

Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Q9/ * dy Let y = t² ,t = 6x ,Find %3D dx

A: We solve this by use of Chain Rule .

Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

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Q: (x² + y2) dx dy ow urves y = x² and

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: Find the solution. 6. (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy

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Q: Sfo sin (y²) dA, D= {(x,y) | 0<x<y, 0<y<26}

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Q: = 2-x² and f'(2) dy when x = 1. dx 8. Let y f(1+ Ju), - 3.Find

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Q: [1+ (x + y)²]dx + [1+ x(x + y)]dy = 0

A: Given: 1+x+y2dx+1+xx+ydy=0

Q: dy Is y =V10 – X a solution of dx

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Q: (b) tan(x/y) = z+y

A: We will solve the problem

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: F(x,y, z) = 5x² + 2y² + 4xy + xz

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Q: J (y)=[(l+y* xdx, y (0) = 19, y (1) = 30

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Q: V1-x² e-(x²+y²) dy dx

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Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: 4. y dx -x dy = x + y? .2

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Q: y'' + ly = 0, yl - 4, y' s'(=) - 2 y(t) =

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Q: Find the solution. dy 2y + - :=x?y?sinx dx

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: y(2x- xy ty')da-x (2x-y) dy =0, when x(4):0 %3D

A: Given: y(2x² - xy + y²)dx - x²(2x - y)dy = 0, when x(1/2) = 0

Q: dx 3x + y dy r+3y

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Q: Solve by substitution of u = Ax + By +C  dy/dx = (x + y +3)2

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Q: = Gx" y, where G = 1 H = 1/2 J = -3/2

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Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: Solve the IVP for y(x): dy 3 -y = 18y*, y(1) = 1 da y(x)

A: To solve the question given below.

Q: d²y +y = tan x dx?

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.