d?y -5dy + 6y = 0 dx2 Find the constant m if y = emx satisfies %3D dx

Q: Find the solution. (x+e") dy – dx=0 A x=ce" + ye* y=ce"+ xe" R

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Q: d*y dx + 2- dx d'y d²y dx 0.

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Q: solve the homogenous equation d''''y/dx'''' + 2(d'''y/dx''') + 7(d''y/dx'') + 10(dy/dx) +10y = 0

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Q: Obtain the general solution of the equation d'y +6 dx dy ? + 10y = 50x dx %3D

A: Given : d2ydx2  + 6dydx+10y = 50 x

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: Q2) Solve the D.E dy + (xy-xy2)dx 0 %3D

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: dy Which is the of the equation y = e 2x+3? dx 2 В. х+ 3 С. 2х + 3 X + 3 2X + 3

A: given  y=e2x+3 find dydx

Q: d'y Find dx? 2 y = (2а-3)? dy 48 dx? (2г - 3)" O dy -12 da? (2г- 3)" O d'y 12 dx? (2a-3) dy -8 da?…

A: y=2(2x-3)2

Q: d y Solve dx2 +4+3y-e dy ² dx

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Q: Solve the linear D.E dy + y=x dx Paragraph

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Q: Solve the equation dy dx? В - w(1 — х) — 0, | subject to the conditions that y = 0 and dy dx when x…

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Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

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

Q: C. Find the value of dx/dz&dx/dy y lnx-x² + 4 = 0 at the point (1,-1,-3) if the equation xz +

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Q: Obtain the general solution. d²y e* 1. dx? dy 2 +y= dx x² +1

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Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: Find the value of dy/dx when x= 10.74 and y=2.74 for the given equation. y4-y2-2x3-9x =8

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Q: Solve the equation dy y + dx ху 3

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Q: Find the constant m if y = emx satisfies dx2 d²y 5 + 6y = 0 dx

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Q: dy Find the general solution of 2x² = a? + y? dx %3D

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Q: d?y Calculate dx2 y = e-X + eX d?y dx2

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Q: d’y dy Solve -+3y=e dx dx

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Q: d-y dx2 Calculate y = e¯X + e* 1?

A: Given, y= ex+e-x Differentiating both sides with respect to x we have, dy/dx = d(ex+e-x)/dx dy/dx =…

Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: calculate  d^2y/dx^2 for y=e^7-2x + 12

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Q: dy 10. y-x dx dx

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Q: d?y Calculate dx² y d²y dx

A: Given, y=2x We have to calculate d2ydx2 First we find first derivative then second.

Q: Q2) Solve the D.E dy + (xy- xy?)dx = 0 %3D

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Q: S1? SoY So *y xyz dx dz dy X-y

A: Consider the given triple integral as, I=∫12∫0y∫0x-yxyzdxdzdy First of all, we have to identify the…

Q: Q3/ B: Classify then solve d'y dy (x + 1)? + 3e* dx dx

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Q: Determine the solution of 2x (y+1)dx−ydy=0

A: Determine the solution of 2x (y+1)dx−ydy=0

Q: For which value of a the equation dz dy dx =1 -1 0. does hold? D a. V3 O C. V2 O d. V3

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Q: d’Y Find x = t + t Y = t? + 3 2) dX?

A: Here I am attaching image so that you understand each and every step.

Q: d?y + 4.+5y x + 2 solve dx? dx

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Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: d The · (a²), where a is a constant, a e R, is dx A. 0

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Q: Solve: (r* + y") dy = xy dx

A: we have to solve the given differential equation . (x2+y2)dy=xydx

Q: dy Determine the solution of = 8 – 3y given y (0) = 12 dx

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Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: solve this D.E using separation of variables dy/dx = (xy+3x-y-3)/(xy -2x+4y-8)

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Q: Give the order of the equation (x* + 2y)dx – xdy = 0. Give the degree of the equation (x* + 2y)dx –…

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Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: d y The equation dx4 2 dy 1+ 4y is dx

A: To determine the type of the differential equation, d4ydx4=4yπ21+dydx2.

Q: . If x = 3t² - 2t, find the value of dx/dy when t = 5

A: The given function is x=3t2-2t.

Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Use the mothed of arlation of parameters to find the general solution of the following equations. a)…

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Q: Obtain the general solution to the equation. dx 8 y: + 4x = 9y dy

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Q: d'y Find dx2 (a) y = 8x³ – 5x² + x dy dx? (b) y = 7x² – 2x + 9 - dy dx? x + 6 (с) у %— dy dx? (d) y…

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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.