years

Q: The following initial value problem is defined with an exact differential equation. If the solution ...

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Q: Find the solution of the initial value problem dy y , y(1) = 5 + tan %3D %3D dx

A: Given initial value problem is dydx=yx+tanyx   y1=π2

Q: Give an exomple 4 open disk in square and also open Squase in disk, open elobosaté Using g jxaph.

A: Take the set, x,y:x+y<1 The set forms a square, Since x+y<1, x-y<1, -x+y<1, -x-y<1 So...

Q: Advanced Math Question

A: Given dσdε=E0-Aσ with A=5, E0=8 and σ1=2. Ralston's second order method gives: yi+1=yi+h3k1+2k2, xi=...

Q: i) Find the solution of Vu O in spherical co-ordinates.

A: The given Laplace's equation is,∇2u=0Now this equation can  be written as in the spherical coordinat...

Q: dx dy %3D 2x + 2) + 1 dr dt dx +2 dt J+ 3 dt

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Q: MATH1A   Third Qestion

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Q: Greaphically Convolve the fellowing twe_Signale x(t)# 2 time time 2

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Q: It's urgent please help.

A: Given the integral ∫1∞lnxx2dx Now, we will calculate the corresponding indefinite integral  For the ...

Q: The equation x4-4x3+px2+4x+q=0 has two pairs of equal roots. Find the values of p and q.

A: The equation is, x⁴ - 4x³ + px² + 4x + q = 0 Let, the roots be, a,a,b,b  So, the sum of the roots is...

Q: written as y(x) = c1xª + c2x$, evaluate a? + B?]. x²y" – 13xy' + 33y = 0, x > 0. -

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Q: In solving differen tial equation system "+ w +z = 4 dx z(x) =? dw dz -4z = 5e*, dx dx A) z = c,cosx...

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Q: Advanced Math Question

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Q: 25(5 – 8²) s(s² + 25) Y(s) =

A: We have to use properties of Laplace transform of derivative functions.

Q: Compute the Wronsky determinant (Wronskian) of the functions y1,y2,y3y1,y2,y3 defined below with con...

A: Given y1=4a+6xy2=xlnbxy3=cx2

Q: Let's end with a harder one. Think through the composition. You can do it! The graph below depicts a...

A: Step:-1 If g(x) is continuous at x= b and limx→af(x)=b then limx→ag  f(x) =g limx→a f(x)  =g(b) Hori...

Q: Reduce the following equation to a canonical form and hence solve it. u – cos² xuyy – cosxu, = 0. - ...

A: Given: The given equation isuxx-2 sinxuxy-cos2xuyy-cosxuy=0

Q: Verify the Diver gence the orem for the following sufece integrol where à (x.y,2) = x² g*? + 2 xyz°J...

A: Gauss divergence theorem 

Q: EMERGENCYY

A: The given equations are, x'=-3x+3zy'=x-4y+zz'=-2x+2zThis system of equations can be written as in th...

Q: L[y(x)] = Y(s) the following equation has been obtained when Laplace transformation has been applied...

A: Find the partial fraction and use linearity of laplace inverse

Q: [If the general solution of the following differential equation is written as y(x) = c1rª + c2r®, ev...

A: The answer to the question is 130 The solution is as follows :

Q: Which of the following is the singular solu tion of the differential equation y = xy' – 3(y')² – 2 ?...

A: Find the singular solution of the ODE y=xy'-3y'2-2

Q: The number of new categories added each year to a major engineering handbook hasbeen found to be a r...

A: (i) Consider a random variable X which represents the number of categories that will be added each y...

Q: Which of the following is not the transformation that will transform the differen tial equation y = ...

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Q: Verify the Green's theorem for the following integral $. sinydx + (x – cosy) dy where curve C is the...

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Q: s+2 Provided that L {Y(s)} = y(t), at time t = 0; Y($)= – 8° +25 is obtained when the Laplace transf...

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Q: lif the roots of the indicial equation corresponding to the regular singular point æ T2, evaluate r1...

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Q: Can u solve quickly?

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Q: find general solution

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

Q: 5. Consider the initial value problem y' + xy' + y = 0; with y(0) = 1, (0) = 0. Compute y"(0) and y"...

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Q: (c) Find A fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, fs = 218, f6 = 250, fr = 3...

A: We know that  △fi = fi+1 - fi ∆2fi = ∆fi+1-∆fi and so on  

Q: 2. Given a trapeze ABCD. It is known that AD and BC are parallel and AD:BC= 3:2. Find the base decom...

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Q: If f(x,y) x³y2 + x²y3-3xy and x = 2r + 3s, y=r-s. %3D %3D then find when as r = 1 and s 0. Select on...

A: Given f(x,y) = x3y2+x2y3-3xyx = 2r+3sy = r-s Hence ∂f∂s = ∂f∂x∂x∂s+∂f∂y∂y∂s = 3x2y2+2xy3-3y(3)+2x3y+...

Q: Which of the following is the linear differential equation resulting from the solution of the equati...

A: The given differential equation is first order but not of first degree. We denote dy/dx =p and the r...

Q: i"(t) + i(t) = 2cost %3D i(0) = 2, i'(0) = 0

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Q: Determine whether the following set of functions are linearly independent f (x) = k1 , g(x) = sin? (...

A: Three functions f(x) , g(x) , h(x)are linearly independent if af(x)+bg(x)+ch(x) = 0 implies a=b=c=0 ...

Q: Question : Find the first derivotive of the following function.. 5x f(x)= ecos 3x - 1_ Sinx

A: We have to use chain and quotient rule here respectively.

Q: Use mathematical induction to prove the following formulae for every positive integer na) 1 / 1.2.3 ...

A: Since you have posted multiple questions but according to guidelines, we will solve first question f...

Q: Which of the following functions are solutions of the differential equation dy y dt

A: The differential equation dydt=yt. Use the variable separable method to simplify the term, dyy=dtt I...

Q: intervols stulod of downword the function f(x) = Arcton x- env 1+ x the Duestion: PJomdn

A: We have to find 2nd derivative of the given function first.

Q: EMERGENCYYY

A: The answer is 130 The solution is as follows :

Q: Venify the Diver gence the orem for the following suffece in tegrol where A (x,y,2) = x² * + 2 xye5+...

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Q: 15

A: Use ln in both sides and use properties of ln

Q: Kindly Answer As soon as possible, Thanks.

A: Let the genral 6*6 matrix is given by a11a12a13a14a15a16a21a22a23a24a25a26a31a32a33a34a35a36a41a42a4...

Q: [Evaluate 1(t)+z(t) Y1(t) for the solution [x1(t), y1(t), 21 (t)] that corresponds to the eigenvalue...

A: The given system of equations x'=-9x+9zy'=x-14y+zz'=-8x+8z can be written in matrix form as X'=AX, w...

Q: Classify and reduce the relation y-u-2xyuy + x²u, ="u, += Uy to a canonical form and %3D olve it.

A: The given equation is, y2uxx-2xyuxy+x2uyy=y2xux+x2yuy

Q: question 7

A: Given that a=1,b=2 and c=-4.

Q: Aşağıdaki diferansiyel denklemin genel çözümü y(x) = c1r + C2x şeklinde yazıldığına göre a + B2 değe...

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Q: A first countable space is a hausdroff space iff every convergent sequence has a unique limit

A: Let X=S,τ be first countable Hausdorff space. Let <xn> be a convergent sequence in X. To show:...

Q: Reduce the following equation to a canonical form and hence solve it. uzx - 2sinxUxy = cos“ xuy – co...

A: Given equation is, uxx -2sinx uxy -cos2x uyy -cosx uy=0                                   The given ...

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.