e) V3- Vx+ 5 = 2 %3D

Q: Find the general solution of the following equations?

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Q: Solve for r: V = arh

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Q: ) Use the d'Alembert solution to solve = 2 -00 0, 1 u(x, 0) = e, u(x, 0) : 1+ x2*

A: As per our company guidline we are supposed to answer only first question. Kindly repost other…

Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it.

Q: Solve the given DE using 3 possible solutions: y' X 3 - 2y 3 3xy 2

A: Given DE  y'=x3-2y33xy2  …………………………(i) we can write it as dydx=x3-2y33xy2

Q: B E 4 F ABCD EFGH Solve For y.

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Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given data we have; Demand:            Qd=β0+β1P+u ,Supply:            Qs=γ0+vMean:…

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

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Q: Solve for the indicated variable. Solve for C: S=C+RC. C= ?

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Q: y' = x – 4y %3D

A: The solution of above differential equation is written below.

Q: solution of the diffe d x; y(1) = 0, d:

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Q: te Use an appropriate substitution to solve 2yy+ r? + y? +x =0.

A: The solution is given as

Q: 12 v = In(x) + C 2 -In(v)

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Q: Solve for the value of x, and x, using Gauss-Jordan Elim. x,-5x, =-4 7x, – x, = 6

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Q: 3x3 = 8 - 2x1 + 2x2 + 9x = 7 X2 + 5x3 = -2

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Q: The solution of y' = e**V is e¯Y= - e'+c Select one: O True False

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Q: Find the values of x that are solutions to the equation h(x) = k(x).

A: Given graph of h(x) and g(x)

Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Solve for i in terms of Ve, a, and d) V2=DV;²-2ad %3D

A: Do the mathematical operations for that.

Q: How Solve by using charpit's method ? o 2 Ans. u= 2ax +Vza y+ b

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Q: y' = x3 – 2xy %3D

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Q: In the lab, Dante has two solutions that contain alcohol and is mixing them with each other.…

A: Given:- In the lab, Dante has two solutions that contain alcohol and is mixing them with each other.…

Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: ((x+4)(y²+1)) dx + (y (x2 + 3x + 2)) dy =

A: This separable differential equation

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +…

Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

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Q: (D² – 3D + 2)y = e2×(1 + e2x)¯ -

A: Given: D2-3D+2y=e2x(1+e2x)-1 Formula used:y=yh+yp

Q: The solution of DE.s divided into complementary solution and particular solution. * O True False

A: Consider a nth order differential equation dnydxn+dn-1ydxn-1+dn-2ydxn-2+.........................+y…

Q: Find the general solution Ans. y=(C1+C2x)eX+e*

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Q: Determine the coefficients of the equation y=ax'+bx²+cx+d so that it will have critic points at…

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Q: In the lab, Yolanda has two solutions that contain alcohol and is mixing them with each other.…

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Q: solution for z(x, 0) = x², z(1,)

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Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: If x, y, z E N, solve the equation: 2 3 = 1 1 || | +

A: 1x+2y-3z=1, where x, y, z∈ℕ.

Q: : Solve by using Separation of variables method? E= k a²u for 0 0 u(0,t) = u(L,t) = 0 for t > 0,…

A: According to the given information, it is required to use separation of variable to solve the given…

Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: b. Solve the simultaneous equations sy = 2x – 3 lx? + y? = 2 Show clear algebraic working

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Q: How many solutions are there to the equation r + s + t + u + v= 22, where r, s, t, u are…

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Q: Solve the general solution y' + (cotx)y = XCSCX

A: Given:- y'+(cot(x))y=x csc(x) To find:- General solution of given differential equation

Q: By using method of undetermined coefficient solve (D² – 3D + 2)y = ex + e2x ;D = 4 ? dx

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Q: Solve for the indicated variable . Solve for C:S=C+RC.C=?

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Q: Solve for the value of v. 105° (8v+3)°,

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Q: Solve for r. %3D E C 1 2. 2.

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Q: y = xy' +y

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Q: In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other.…

A: Given that, Miguel has two solutions, solution A and solution B.

Q: R V(In r) C.

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Q: Solve A = ab + d (a + c) for d                            2

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Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

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