If you know that y is a solution of the following O.D.E with initial conditions, *: then the values of c1 and c2 are O. D. E : y = cje + cze=2x ya) - 4y = 0 dy -(0) = 2 dx Initial conditions : y (0) = 1 ,

Q: In this problem we consider an equation in differential form M da + N dy = 0. The equation (20z*y'e-…

A:

Q: Differentiate with respect to x: 3x4 x³y + 4y³ = 6 Select one: the following implicit equation for…

A: implicit derivative of y(x) for 3x4-x3y+4y3=6

Q: Find the solution of the D.E. below: 2(2x + y?)dx - xydy = 0 A x4 = 4c (x2+y?) B x4 = c (4x2– y?) x4…

A: Simplify the given differentiatial equation to obtain the expression of dydx.…

Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

A:

Q: Let z 2ev Then: 8z 8z dy sissis

A:

Q: 9. If F(x) X-1 = Q(x) r. R(x), F(3) = 15 and Q(3) = 7, what is R(3)? а. -1 b. 0 С. 1 d. 2 e. 3

A: To find- R(3)

Q: Evaluate the following: a. [₁₂ (6 + e ²¹) 8(t - 4) dt = [ b. ₁ (6 + e ²¹) 5(t− 8) dt = [ c. L₁ (6 +…

A:

Q: 1 If = 1/2 = = a + b and ¹ = a - b, then x - y is equal to: x y

A:

Q: Let x x with W(x,,x2) =7e",then a= %3D -2 3 Select one: a. 7 b. 2 С. О d. 7 e. 5

A:

Q: Find the d. c. of T from definition.

A:

Q: 5. Find the general solution of the given DE: dy 2x + 2xy2 y+ 2x2y dx A. 1+ y? = c(1+ 2x2) C. 1- y?…

A: Topic - differential equations

Q: Find the general solution of the D.E. y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. a. 2xy + y? = ce-3* c. 2xy +…

A: Use integrating factor method

Q: I. Evaluate the following expression: A. Given x = 2.0 and y = 3.0, what is the output of the…

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

Q: iv) if zy = (x)-1 then zx + Zy = %3D a. x – y b.x + y c. -z2(x + y) d. z²(x – y)

A:

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: If y = e* , theny equals – 2y A x3 - 2x B 2y 2x D y3 E none of the given choices

A:

Q: If i = j+z, i – j = đ, and j – z = b, show that ā = -15.

A:

Q: 2. For the given DE: dy ху — у dx x2 - 5x + 6 2a. Find its general solution. А. у (х — 2) 3 С(х +…

A:

Q: 5. Determine the Particular solution of this equation in terms of Y ( +y = -x'y* y = ) y = G) y = G)…

A:

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

A:

Q: If y = f(x) is the solution of (18x?y + 2x)dx + (6x – 108y?)dy = 0, f(0) = -1, then Lütfen birini…

A:

Q: ind the particular solution of (9x-2yldx- x(6x- yldy-0 when x-1. y=1 To start let y-vx

A:

Q: S. S. (x + 2y)dydx = 10, Jo a

A:

Q: (xi+axy-3)dk + 2x°dy -0 3)ck +2x²dy =0 Qxt -3x*y? +x = 3 +2xy -3n =0 O Option 3 O Option 1 x+ 6x…

A:

Q: (x+Sy + wZ ) dzody dx dx X-つ

A: We have to find the triple integration…

Q: 4. Suppose y satisfies the equation = 3y. Also when x=0, y=0, then which of the followings dx can be…

A: An initial value problem is an ordinary differential equation with an initial condition which…

Q: Given (x? + 6y? ) dx - 4xdy = 0, whenx = 1, y = 1. Find the particular solution. O a. y? x? = 2(3x…

A: Note: Looking at the options there is a typing mistake in the question. It should be:

Q: д 2 у б (24)2+ Ady

A: Note: Since, the student has made a typing error in writing the integral ∫012y2y2+1 dy, it should be…

Q: If y = f(x) is the solution of (182?y + 2x)dx + (6x – 108y?)dy = 0, f(0) = -1, then Lütfen birini…

A: Answer