If y = f(x) is the solution of y"x2 +y" = 2xy' + 4x, f(0) = 0, f'(0) = -1, then Lütfen birini seçin: O a. f(3) = 15 O b. f(3) = 12 O c. f(3) = 6 v O d. f(3) = 9 O e. All the previous answers are not correct.

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

A:

Q: If y = хV3x , then y' is 3x A.V3x В. 1 + V3x + 1 D. х + V3x С. 2 2

A:

Q: x³Væ² + 1 dx

A: Solve the integration

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

A:

Q: Solve the following IVP: X' = AX + f(t), where 2 -1 A = 3 -2 and X(0) = ( : -3 2 f(t) 10t ||

A: First we need to find the eigenvalues and eigenvectors of a then find the complementary solution of…

Q: If X = /1 - t and y = t 3 - 2 t what is y'when t = -2? A - 20 /3 B none of the choices - 20 D - 28…

A: We have to find y'.

Q: x² + y? Solve y'= xy

A:

Q: x2y" + xy' – x²y = 0

A: We have to solve second order differential equation Here given differential equation is second order…

Q: d'y If y = e, then dz2 A) 182 e= B 9x e2 (6z + 3=*) e (6z + 9z*) e* 9x*) (D 6x +

A: We can find the correct option as below.

Q: 6. (3х — 1)у' —D бу — 10(3х- 1)1/3. ANS. y = 2(3x – 1)1/3 + c(3x - 1)?.

A:

Q: V(1 -1) (1 -1)(I – ') = 21

A: You must know these formulae before solving this problem:

Q: Solve the pollowing: () (^) 2+j =j(xtjy) X = ? y=? (1) (2+j)(3-j2) = a+jb () (x-j2y) -(y-j«)-2tj a:?…

A: (a). Given  2+j1-j = j(x+jy)⇒ 2+j1-j×1+j1+j = -y+jx⇒ 2+2j+j-11+1 = -y + jx⇒ 12+32j = -y + jxBy…

Q: Which of the following functions is a solution of x²y" + 5xy' -21y = 0. (а) у(х) — sinx (b) y(x) =…

A: here option c is true

Q: (e) y(ª) – 4y "= 5x² -e2* (g) y(“) +8y '= 4

A: The given differential equation is y(4)-4y''=5x2-e2x

Q: (C) y" + 21y+8x=y" + 5y' + e²*

A:

Q: PLEASE HELP ME ANSWER WITH SOLUTION    18

A:

Q: Find dt OA. ○ B. OC. O D. for y = (5t? - 4t)?. dt dy dt dy dt dy dt = 2 (5t² − 4t) + (10t − 4) =…

A:

Q: If J x° e" dx = e (A) + c, where c is a constant. Then A = Select one: a. x3 – 3x2 + 6x + 6 b. x3…

A:

Q: (D) e(-1-v2)x + cze(-1+v2)x If r2+2r-1 = 0 is the characteristic equation of a homogeneous D.E. with…

A:

Q: If the Equation Hx = c is inconsistent for some c in Rn, what can you say about the equation Hx = 0?…

A:

Q: If number of columns of matrix A equals number of rows of matrix B then AB is defined. Select one: O…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

A:

Q: If y = f(x) is the solution of y"a² + y" = 2wy' + 6æ, f(0) = 0, f'(0) = -2, then Lütfen birini…

A: Consider the given equation. y''x2+y''=2xy'+6x Further, simplify. y''x2+1=2xy'+3y''y'+3=2xx2+1

Q: Find the center and radius for each equation of a circle.

A: Solution Given that the equation of circle  (X+5)2+(Y-6)2=121.        (1) Then find centre C( ,) and…

Q: = VI3(t G-÷) A W = w? = 5 – 12i, w e C w= ±v13 (은+i) B 13 13 V13 (+ w = W 13 13 w = ±V13(1+ 2i) D w=…

A:

Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

A:

Q: ompany determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Given:  s(t)=3t^3 - 50 t^2 +230t+180(a). Find; s'(t),s'(2),s'(3),s'(5)And…

Q: given f (2) = 3z - 6z+ j3. what is the value of u(3, 2)

A:

Q: In which form should we look for the particular solution of

A:

Q: For the difference equation given by y(k + 1) + y(k) = 3 (1/2)* with y(0) = 1 Find the expression of…

A:

Q: Write the equation „dr te +x dt dr in the form of +p(t)x=q(t). Then identify p(t) and q(t). dt…

A:

Q: Let a +0 be any real number different from 0. If y = f(x) is the solution of y" – ay" = -48+48ax,…

A: the given differential equation is  y'''- a y''= -48 + 48 a x      .....(1) the associated…

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

A:

Q: If r2+ 2r –1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients,…

A:

Q: dy sin(r-y). dr Q(3) Find the general solution of %3D

A: we have to solve the given differential equation

Q: 5. The function y₁=+1 is a solution of (1-2-2³)+2(1+)/-2yy=0. Find the general solution.

A: PLEASE NOTE: There is a slight  typing mistake in this question ,the differential equation should be…

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.