ди 2. 2 ax + 3u ду = 2y - x %3D

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: y" -4y' +4y = te2t

A: Consider the following different differential equation: The solution is divided into two sets,…

Q: 2 + yexy y' 2у — хеху xexy ||

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Q: 1. y=-5x + 1; (2, -1)

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Q: Solve the system.

A: Given, 2x+5y=-23x-4y=20

Q: DIFFERENTIATE ITOU h(t)= 6t + 1 6t-1

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Q: (++ -2t2-4) dt 그t-3

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Q: -4 3t° 3t+ i dt

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Q: 2 y+ 3 dy y + 5y + 6

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Q: olve y′′′′+ 3y′′−4y = e^2t

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Q: -1-5 V-5•V-10

A: Given Expression can be simplified as shown below

Q: -1/4 4. J1/12 Je+atvE 2 dt

A: This question can be solved using integration by substitution.

Q: 13. x'y 3 + x³y5 = Ċ %3D

A: 13. Given equation is: x2y3+x3y5=C We have to eliminate the arbitrary constant C from above…

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: y = 5x + 9 0 %3D y 9x= 502

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Q: 1. y = Vz + 3z – 1

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Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: 5x'y 10x y (h) 25x (1) 15xy

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Q: (2-3х)2 y = Vx+2

A: Given, The function is y=2-3x2x+2.

Q: y" – 5y' + 4y = e3x

A: The undetermined coefficient method:-According to Theorem, a specific solution must be added to the…

Q: 25) y'=} +2y yl

A: We separate the variables first

Q: LiA X-4 メマ2 *3-x メ2タ (メ4) tim tメ+サラ= 2+2=4 メ→2

A: Given The limit is  limx→2x2-4x-2

Q: y" - 11y' + 30y = 20e %3D

A: y''-11y'+30y=20et Use the method of variation of parameter to find the particular solution of the…

Q: - S(2 + 5x) es dx

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Q: (x +y - 25 4x

A: In this question, we can find the vale of 'x' and 'y'. So use second equation in first and find 'x'…

Q: Simplify : (3x2y3 - xy + 4y2) - (-2x2y3 - 3xy + 5y2)

A: We have to simplify 3x2y3-xy+4y2--2x2y3-3xy+5y2. Simplifying the given expression.…

Q: (6x? - 6x +: -5x3 +9x+ 6 +5) h(x) %3D h'(x) = || %3D

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Q: у" - Зу' — 4у %3D0

A: Given differential equation is, y''-3y'-4y=0....1 The given equation is second order homogeneous…

Q: If x =-1 and y =-3, what is the value of -a-3y

A: Given, x=-1, y=-3 We have to find the value of -x-3y

Q: 1 2e10 - 3 da e5z

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Q: 3x 1. y = 0 and x = 4

A: The area bounded by the curves y=3xx+4, y=0 and x=4.

Q: (a) yx+3-3yx+2 -10yx+1 +24yx=0

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Q: y" − y' − 2y = 3e2x

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Q: 3- SS (z+y) dA

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 5. y >x 6. HA 1/3

A: Given : y>x/3 First of all, it is important to understand that how the graph of y=x appears and…

Q: y''=2x(y')2 , y(0)=4, y'(0)=−1

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Q: 2x5y8 h) 8y5

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Q: Differentiate y = [e2x + (x + 1n x)3]4.

A: Given function is y=e2x+x+lnx34. Power rule of differentiation states that: ddxxn=nxn-1 Chain rule…

Q: 3. y = x + 4, y = 3x - 1 Submit -10 -5

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Q: Min P = 4x+10y Subject to: 2.x+6y2 24 4x+2y 218

A: Let's solve the two inequalities treating them as equations and then see if the solution of the…

Q: y" – 10y + 25y = e5x

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Q: Solve y′− 5y = 3ex− 2x + 1

A: For solving this problem , first we compare the equation with standard form of equation and then…

Q: 1) x(х- 3) - 0 3 А) (3, 0) B) -5 5' D) {2, –4 C) {-3, 0}

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 4. y = Ae-3x + Be2x

A: We will solve the given questions by using derivative of the function. Note:- Due to our policy, we…

Q: Differentiate: fx = 1/x 2

A: Derivative: f(x)=1x2f(x)=x-2We know,ddx(xn)=nxn-1

Q: 2. S x²-6x-4 xp x+2

A: Given: I=∫x3-6x-4x+2dx As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫a·fxdx=a·∫fxdx

Q: 4y2 + 6xy xp dy 3y2 + 2x

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Q: Solve (x ^ 2 * y ^ 2 + 5xy + 2) * ydx + (x ^ 2 * y ^ 2 + 4xy + 2) * xdy = 0

A: As we have x(x2y2+4xy+2)dy+y(x2y2+5xy+2)dx=0∴x3y2+4x2y+2xdy=-x2y3-5xy2-2ydx

Q: If mBC= (9x - 53)' and mCD`= (2r + 45)', find MBAD. %3D B C

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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.