Find: te (1 + Inx + ) he y? y+ylnx+ 2x O ylnx +y o 1 y x2 « Previous 98 %23 立

Q: SV² + 1)dy у2 +4

A: The meaning of the expression ∫(y2+1)dy/(y2+4) is that the indefinite integration of y2+1 is to be…

Q: 01 (continue solution) Y'(2y - xexy) = 2 + yexy |

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Q: Find Deri vative 2X-4 Y= 4,2x e

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Q: 3) Evolvate Ci(0) e²/z dz е

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Q: Solve for y: Ax + By = Cy + D.

A: Given Data The equation is Ax+By=Cy+D.   Evaluate the equation Ax+By=Cy+D by rearranging the…

Q: y aln(a) – y = 0; y(2) = In(4)

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Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

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Q: of Chal) D x24 6x -2:0 ent

A: Solve x2+5x-2=0

Q: Using Mxty (t) for xiy~ep with ņ,Ao respedinely Find var (xty)

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Q: 2 4– x2

A: topic - indefinite integral

Q: Find y'' in y = ex2 + 5x

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Q: Y=kx +3 for x

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Q: of (x, y) = a? + 4y

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Q: ind the total differentia z = 5x^y7 = zP

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Q: Find y'" for y=eto y" =D + 11x.

A: Given y=ex3+11x

Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

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Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

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Q: b.y" — у %3D 3t + 5, when y(0) 3D 0, у' (0) — 0

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Q: Q1/ evaluate. SPS dj dz dx X+2

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Q: Find y': y = ar csc(2a2)

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Q: 2x tan y + x2ey = 25 %3D

A: Given:       2xtany+x2ey=25   fx=2xtan(y)+x2ey-25=0   differentiating on both sides…

Q: y" + a1(x)y = 4 sec²(8x)

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Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload…

A: topic - derivative of a function

Q: Find the general solection y'+ 3ty-

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Q: (y³ + kæyª – 2x) dæ + (3xy² + 20x²y³) dy O 20 O 10 O 5

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Q: Find dy. y=5ln(3x+x4) dy=

A: To determine the derivative of the function.

Q: dzdydz a x X+y x+y+? dady de

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Q: y" – 4y' + 3y = et 1+ ex

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Q: 04+3D³+3D²+ D)y=0 55– 2D³+D²)y=0 O5+3D4+3D³+ D²)y=0 04+D²+1)y=0

A: Solution of the problem as follows

Q: d?y Find , if y = (60)tª + csc (5t2- e10t) + In (2t² + 3) dt2

A: To Determine: find d2ydt2 Given: we have y=60t4+cosec5t2-e10t+ln2t2+3 Explanation: we have to…

Q: Evaluate dz dy dr. y +z

A: The given integral is ∫12∫x3∫0yyy+z dz dy dx . This is a triple integral. Triple integral is used to…

Q: Find L y] 22 (s+4)3 11te 4t O llt²et O 1lt²e-4t

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Q: s 130 ys 170 y 2 0 V V N N + +

A: the linear programming problem is as follows  maximise z = 2x+1.25y subject to…

Q: y"+ay'+sy= ーア e'sent y ro)=0, yto) = 1

A: Given differential equation is y''+2y'+5y=e-TsinT y(0)=0 and y'(0)=1 yT↔Ysy'T↔sYs-y(0)=sY(s)

Q: er of y+ 3

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Q: 1+ y³ dydx =?

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Q: 4 x² + 4

A: Follow the procedure given below.

Q: Approximate y(1.2), with h=0.1 given that xy'= y– 2x² , y(1) = 2, by RK-4 using 5-digits rounding.

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Q: the IVP y + (2xy – e¯4")y = 0, y(2) = 1, -2y ODD

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Q: is my- lm Cy)-1=0 Solution

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Q: . lim 4y9 + V y--00 /y18 – 1

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Q: y = 10,000 %3D 41. 0.05x + 0.07y = 650

A: We have two equations  Step1:  From the first equation we find the value of y and then Step2:   we…

Q: within у= = 2X, y=0, x= 0, x=5 авай у=о, у а.)) 425 T а.г) 620 П а-3) 580 П a 4) none of the above…

A: We have to find the volume of the given problem.

Q: 6. Use th A). De B). f' C). f'- D). Li

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: y” – 2y’ = ex (Non Homogenous DE)

A: Given DE is y” – 2y’ = ex.....(1) Let y=emx be trial solution of reduced equation of (1). Then…

Q: Q2/ If y,= 3, yl= 12, y2= 81, y3= 2000, y4= 100 calculate A*y

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: y'dy 3 (4–v’) 2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.