O Solve y(0) -1, yro)= -2

Q: Solve da dy zdz y+x a² – 2xy– y²

A: We are given with dxy-x = dyy+x = z dzx2-2xy-y2 From first two equations we get dxy-x = dyy+x(y+x)dx…

Q: Solve the equation dy =- 3y + 5x, yci)=4 2

A: The general solution of the differential equation is, y = x³ + c/x² , where c is the constant of…

Q: Solve for y: Ax+ By= C

A:

Q: pls solve the DE: a) y''+10y'+25y=0, y(0)=5, y'(0)=−19 b) y''−6y'+10y=0

A: In the given question we have top solve the differential equations s.t  (a) y''+10y'+25y=0 with the…

Q: Solve dy and Evaluate the answer at y=30 and C=-26

A: The exponent rule of integration states that ∫xndx=xn+1n+1+c.

Q: Solve for the solution of the DE: y' – 5y = 0

A:

Q: Solve for y.  9y + 38 = 2 (y-9)

A: Given,

Q: Solve y'" – 4y' + 20y = – 68e*, y(0) = 0, y'(0) = 0| - y(t) :

A:

Q: Solve for w and show all of your work: -4 1 く- -5w -5

A:

Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

A:

Q: Find the general solution to t?y" - 13ty' + 49y = 0

A:

Q: Solve the IVP 2y"+5y'-3y=0 y(0)=-5 y'(0)=29 y(x)=?

A: The given differential equation is                                                   2y''+5y'-3y=0…

Q: Solve the IVP y" + y'+ 1.25y = 0; where y(0) = 3 and y'(0) = 1

A: The given differential equation is y''+y'+1.25y=0 with y0=3   and  y'0=1. Its auxiliary equation is…

Q: Solve second order DE y" - 4y' + 4 = 0

A:

Q: Solve the IVP *y" – 2ty + 2y = 4t², t>0, y(1) = 1, y(1) = 5

A:

Q: Solve the equation y" + 4y = 5(t – 4 T), y(0) = 1/2, y'(O) = 0

A:

Q: Find the solution of y" – 2y' + y = 36 et with y(0) 6 and y' (0) = 5.

A: Given

Q: Solve y′′ + 16y = u4(t), y(0) = 1, y′(0) = 2

A: The solution are next step

Q: Find the solution of dy r(1+ y?) dr 4+22

A:

Q: Solve for the solution of the DE: y(4) – 9y" + 20y = 0

A:

Q: Solve by VP: y"' – 3y" + 2y' - et 1+e-x

A:

Q: Find the general solution of EonC(2)'y/n-1),

A: ∑i=0nnCi(2)iy(n-i)

Q: Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

A: To  Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

Q: y" + 6y' + 8y = 3e-2# + 2x

A:

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

A:

Q: Solve y+2+ 2yn++Y =n with Yo 0 = y,.

A:

Q: Complete the equation for OA. ty 4 -2 -2 A

A: From the given image of circle we see that, the center of the circle is at ( - 4, - 2) and the…

Q: Solve for (x,y) in the following two equations  {(x+6)/5} - {(x2y)/10}=1     (1)…

A: Given,

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

A:

Q: (d) Solve the y" + 4y' + 3y = 0, with y(0) = 1, y'(1) = 0

A:

Q: Solve the IVP: y" + y = 6(t – 2m), y(0) = 0, y (0) = 1.

A: y“+y=δt-2π

Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

A:

Q: Solve for the solution of the DE: y(4) – 8y" + 24y" + 32y' + 16y = 0

A:

Q: Solve y" – 6y' + 8y = 3e, where y(0) = 1 and y'(0) = 3. %3D

A:

Q: Solve in terms of t, u"""" + u"""' = 0.

A: Given the differential equation is u"""" + u"""' = 0.  Here the auxiliary equation is r8  + r7 = 0.

Q: Solve the equation for y: ax + by = c

A: We have to eliminate the term 'y' and thus we get the solution.

Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: 0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

A: We have to find the solution of given differential equation.         y’’+8y’+20y=0  ; y(0)=2,…

Q: Solve the equation below for y. 5x - 4y= - 12 Oy =--3 Oy = 5x Oy = Ov-+3 3.

A: Explanation of the answer is as follows

Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

A:

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

A:

Q: Solve the IVP: y" + y' = 0 y(n) = 0, y'(1) = 2, y'"(n) = -1

A:

Q: Solve the general solution y" – 5y' + 6y = xe*

A: Given problem is : y'' -5y' +6y = xex We have To find:- General solution of given differential…

Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

A:

Q: Solve for the particular solution, yp- y" - 6y' + 9y = 6x +2– 12e* y(1) = 0; y'(1) = -1

A:

Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

A:

Q: Solve DE  y" - 10y' + 21y = 0

A:

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.