dy/dx=x+2y-5/x-3y+2

Q: ind dy/dx. y= -3x square root of 1-4x^2

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: у+(2x-Зуе^у)dx/dy-0 x-3y

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Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: 2. (2x – y + 1)dx + (4x – 2y + 3)dy = 0

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Q: Solve: (dy/dx) = [(5y – 2x) /(4x - y )] %3D

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Q: Solve; (2x+3y-2)dx+(3x-4y+1)dy = 0 H.W

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Q: 2ydx-(1-x^2)dy=(x^2-1)dx when x=0 and y=-1

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Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

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Q: solve dy/dx = 3x2y2

A: Given, dy/dx = 3x2y2 with  y = 1/2 when x = 0

Q: 2. (6x2 - y+3)dx+ (3y2 – x- 2)dy =0

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Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

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Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: (2.x+ 5y)dx + (4.x – 5y)dy =

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

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Q: solve (x-y)dx + (3x+y)dy = 0 using homogenous

A: We know that if a function is homogeneous if f(tx,ty) = tnf(x,y). Here n is degree of homogeneous…

Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

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Q: Solve (x +3y- 4) dx + (z +4y - 5) dy = 0 (x+4y-5) dy= 0

A: We need to solve the following differential equation (x + 3y - 4) dx + (x + 4y - 5) dy =

Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

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Q: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

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Q: Evalute! 2. 2)dy dx

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Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both…

Q: Solve: x- dx dy - (x + 1)(1 + y*).

A: First separate the variables than integrate and solve the  differential equation .

Q: 3) (3x- 2y+1)dx+(3x– 2y+3)dy = 0

A: We have to find

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: Solve:(3y+4xy^2)dx+(2x+3x^2y)dy=0

A: The given equation is rearranged by equating dx and dy on each side and find the equation in the…

Q: 5-(x^2-y^4)dy/dx=xy

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Q: 10-4z .5-2x-y 6z2 dz dy dx

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Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

Q: ху+3x- у -3 dy %3D dx xy-2x + 4y- 8

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Q: 1. (3x + 2y + 1)dx – (3x + 2y – 1)dy = 0 -

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Q: Solve (x+3y- 4) dx + (x+ 4y- 5) dy = 0

A: We have to solve the given differential equation: (x+3y-4) dx + (x+4y-5) dy = 0 Dy/dx = (-x-3y+4) /…

Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Example #2: Solve (x+2y-1)dx + (2x+y+1)dy = 0

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

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Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

A: Given the equation,                          2x+62y2+3dx +4yx2 +3x+2dy=0…

Q: 4. (2x – 3y + 1)dx – (3x + 2y – 4)dy = 0

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Q: 3. (2x + 5y + 1) dx - (5x + 2y – 1) dy = 0.

A: Given differential equation (2x+5y+1)dx-(5x+2y-1)dy=0 To determine the solution Put x= X+h, y= Y+k…

Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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Q: 2 - (2x 3y)dx - (2y + 3x)dy 0

A: 2)-(2x-3y) dx-(2y+3x) dy=0dydx=(2x-3y)-(2y+3x)dydx=3y-2x2y+3xdydx=3yx-22yx+3y=vxdydx=v+xdvdx

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.