Find the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* --by exact method -by linear method

Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 107 and…

A: Sol

Q: Find The curl of the divergence of the grad given = 3x²y374-4x³y² + 2x³vz²

A: given ϕ=3x2y3z4-4x3y2+2x3z2 find the curl of the divergence of the gradϕ

Q: y′= 2x/1+2y, y(2)=0 Find an explicit solution for the initial value problem. Plot the graph…

A: Differential equation

Q: Solve each of the following by Laplace Transform: 1.) ď² y dt² +2 2 +y dy dt y (0) = = sinh 3t - 5…

A:

Q: 03/: Find the area over the region R that lies inside the cardioid r=1+cose and outside the circle…

A: We have to find area of the given region.

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: DEFINE COMPLEX EIGENVALUES WITH NEGATIVE REAL PART?

A: In this question,  we have to define the complex Eigen values with negative real part.

Q: 1/ Let (X₁T) and (Y₁J.) be top spaces and fix-x be a surjective and continuousmap, then y is Compact…

A:

Q: 5.) est cos 9t sin 6t

A:

Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

A:

Q: -) Evaluate the integral fx/e*dx by i) Trapezoidal Rule,

A: We have to solve the given integration using trapizoidal rule.

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: How many interpretations are there for the number Express your answer as an integer.

A: The number 5000 is a natural number.  It can also be a whole number. Again the number 5000 can be…

Q: Let g(x) = a + a₁x + a₂x² + a3x³ and f(x) = √√g(x), f(x) has its non-zero local minimum and maximum…

A:

Q: Eliminate the arbitrary constants from y = method and determinant method. C₁e* + c₂e-* by the…

A:

Q: Find Fat the rect (t=1)-rec७(611)

A: Find the answer below.

Q: a) Describe the curve obtained when we make y= 2 and 2= √2 b) Represent on this curve the partial…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²+¹)+rect(²7¹) -

A:

Q: Find the F. T of the following Signals . x(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(¹)

A:

Q: when to make a line graph? Line graphs show changes of information over a time period. For instance,…

A:

Q: 7-3y 2 12y-3y² S²6² dxdy

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

Q: A rectangle piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut…

A:

Q: A system that is initially at rest has response x(t) to an input u(t) and is described by the…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: The lecturer Aous used to drive his car early inorder to arrive and teach his students some…

A: Q2: Consider the provided question, We have to find the time that Aous start driving from the…

Q: A standard deck of 52 cards consists of 4 suites (hearts, diamonds, spades and clubs) each…

A:

Q: For each initial value problem below, determine whether our existence and uniqueness theorem…

A:

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: Determine the appropriate form for a particular solution of the fifth-order equation(D - 2)3 (D2 +…

A: Given differential equation is D−23D2+92y=x2e2x+xsin3x......1. We have to determine the appropriate…

Q: Let and I be subspaces of vector space V, let TE L(V). Q2) If U and W are invariant under T, prove…

A:

Q: k Q3: Solve the difference equation: y[k]y[k - 1] +y[k - 2] = () using Z transform.

A: What is Difference Equation: A difference equation is any equation that has a variable difference.…

Q: Describe the difference between being confident that a conjecture is true, and being certain that…

A: To describe the difference between being confident that a conjecture is true, and being CERTAIN that…

Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

A:

Q: A rectangular field is to have an area of 700 m². a. Write the perimeter, P, of the field as a…

A:

Q: Let f(x, y) = x² - y² + 2y. Find the absolute maximum and minimum values of f on the region 4x2 + y²…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=011101110x  ; x1=e2t111 ; x2=e-t10-1  ; x3=e-t01-1 x10=10 , x20=12  ,   x30=-1 (a) To…

Q: Q2:/ Sketch the region (R) of integration ſſ x² dydx and evaluate the integration. Then reverse the…

A:

Q: apply the successive approximation In Problem. formula to compute yn(x) for n < 4. Then write the…

A: given dydx=x+y with initial condition y0=0 fx,y=x+y and y0=0 , x0=0 using picard method…

Q: A paint company is trying to recycle unpopular paint colours by mixing them together to create…

A:

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: 2) D , E , F are 4×4 matrice. D=2460-1817325-42560 E=12-432504329-376705818-8335570-67…

Q: Determine a minimum of f(x) = x² + 3x², Starting from x, = (6,3) = 6i + 3j and applying the method…

A: The given function is fx=x12+3x22 . The initial point is x0=6, 3. Let it be X0=6, 3. The gradient of…

Q: = 1 Find the minimum value of f(x, y, z) = 3x − y − 3z subject to x² + 2z² - - and x + y -z = 0.

A:

Q: 1/ Let (X₁T) and (Y₁J.) be top spaces and fix-x be a surjective and continuousmap, then y is Compact…

A:

Q: A line OP makes equal angle with coordinate axes then find its direction cosines

A: Sol

Q: Give brief Explanation of Special Case of a Repeated Zero Eigenvalue?

A: In this question, we have to give the brief explanation of special case of repeated zero Eigen…

Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

A:

Q: d²p If 2 dq² dp 7- +4p = e³x, what would be the solution for the particular integral? dq

A: Given the differential equation, 2d2pdq2-7dpdq+4p=e3x

Q: A/ Show that as a half range series of cosine terms for 0 < x < 1, π² /cos 2x cos 4x cos 6x +- +…

A:

Q: Let f(x) = x² on [0, 2]. Compute the Fourier series f(n). Use Parseval's equality to compute: Σf(n)²…

A:

Q: a) Describe the curve obtained when we make y = 2 and 2= √2 a f b) Represent on this curve the…

A: Given That : y=2 and z=2 To Find : a) Describe the Curve obtained when y=2 and z=2 b) Represent on…

Q: 2.) 98-8 s² +248

A: