Solve y′− 5y = 3ex− 2x + 1

Q: x-2X x+ X-6

A: Here we have to calculate the givne limit.  =limx→2x2-2xx2+x-6

Q: The equation y3=3Bxis the general solution of

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Q: solve for 3x2 − 2xy + 3y2 + 8z2 − 31 = 0

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Q: e IVP

A: This equation is belonging to the differential variable calculus equation of the initial variable…

Q: Solve

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Q: Solve the equations x² =[1] in Z5.

A: The solution tox4=1(mod5)inZ5​arex=1,4(mod5).Explanation:To solve the equation x4=1(mod5)inZ5​​, we…

Q: The solution of the  equation 2y = 5y - (18/5) is

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Q: Solve (2y +5)dx = 6dy O a. y = 3In(2x+5)+ c O b. x = 3In(2y +5)+c x =- In(2y+5) +c O d. x =…

A: Given that          (2y + 5)dx = 6dy Now we solve this differential equation.

Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

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Q: suppose cX) is valued function on such that f?E R Faib] Does it fallows bounded real taib] that…

A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

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Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: = 4 y = 2x – 1 :-y

A: Topic - linear equation In two Variables

Q: Solve: (пу? + 3у?) dy 2.xdx = 0.

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

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

Q: Solve for x and y (3x5y = 22x+1 +22x-1 (3y5x = 22x+2_22x-2

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Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: y6) + 25 y" = 0 p(6)

A:

Q: 6. Solve: y³ 12y² + 32y = 0 -

A: Given equation y3 - 12y2 + 32y = 0

Q: Find a particular solution to the given​ higher-order equation.   y′′′−4y′′+y′+6y=-30t^2+8t+37

A: We have to find a particular solution to the given​ higher-order equation. y′′′ − 4y′′ + y′ + 6y =…

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Find the characteristics equation of x²r+2xys+y²t

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Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: Solve y" +3y' + 2y = 0

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Q: Solve for y X2 =9e?y

A: Given: x2=9e2y As we know that the exponent rule: lnm=x⇔m=ex So, we can also write as:…

Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: Solve

A: The given equation is z4+83+8i=0

Q: Solve dy = (1+ 3ytan a) da

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Q: Find the inditial equation for xヴ X 9+2Xy+3yso

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Q: Solve د. سامان سایت رندار 4- (3x2 + 6xy2)dx + (6x2y + 4y3)dy = 0

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Q: 7. Solve for y 3(2y + 8) = 2x + 6

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Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: y"-3y'-4y = 2x² - 3 %3D

A: First solve for homogeneous part and then find particular integral  resulting will be required…

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.