у" — бу" + 11у' - бу %3D 3 сos 9х + 10 |

Q: Solve the following : x2 + y2 + 3y =22 2x + y =-1

A: To solve the given equations.

Q: Solve the following EDO (Separable variables method) ху-Зу+x-3 b) dx ху+2у-х+2

A: The solution is given as follows :

Q: Solve the following IVPS. 1. ä – i – 30x = 0, x(0) = 2, ¿(0) = 1 %3D 2. ä – 6å + 9x = 0, x(1) = 0,…

A:

Q: Find solution for sec(40+15) csc(0+25°)

A: The given equation is: sec4θ+15∘=cscθ+25∘ To find the value of θ.

Q: y(0) = 0. %3D X-1

A:

Q: Find a particular solution of (15) y′′−3y′−4y=−8etcos(2t).

A:

Q: 3. 4. Rationalise V7 + V10

A:

Q: Solve the following PDES by separation of variable metho (i): u +U, = 0 (ii): y'u, –x’u, = ди (iil)…

A: (i) uxx+uyy=0   ...i solve the PDE using separation  of varaible let u=XxYy differentiate with…

Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

A:

Q: Solve the following integrations. /2. V4-16x² dx (a) dx (b) Vx(9+x) dx (c) 2Vx-x²

A: Given that three integration and we use general property of integration to solve this integration.…

Q: Solve the following using variable separable. (y’)2 =  1 − y2/1 − x2         ;         y = 1/2, x…

A:

Q: Solve the following IVP by the method of Undetermined Coefficients: y′′−3y′+ 2y= exsin(x); y(0) =…

A:

Q: Solve the following simultaneous linear D.E. 4 [2D [2D+1 D+ D-4 11 {} D+3)=(e) -

A:

Q: y(4) + 3y" + 2y = 0

A: The given differential equation is y(4) + 3y'' + 2y = 0

Q: Consider the following IVP: y"+a2y = 0; y(0) = 1, y'(0) = 0   Find the general solution

A:

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Given cost of inoculating x% of the susceptible population: Cx=1.85x100-x million dollars. (i) For…

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Consider the given: The cost to providing inoculating x% of the susceptible population would be…

Q: Solve the following IVP and show the details of your work: -3+2y (9r-2)e, y(0) 1. (0)=-6 %3D

A: We have to solve the given  IVF                                    y''-3y'+2y=(9x-2)e5x , y(0)=1 ,…

Q: dz V(z2 - 8)5 21

A:

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: The cost of inoculating x% of the susceptible population would be approximately C(x)=1.85x100-x…

Q: The general solution to the DE (x-2) y +5(x-2)

A: This is a problem of differential equation.

Q: Solve for s in terms of t and u. u = S =

A: Explained below

Q: Find the general solution of the following: 1. (4D2 – 4D + 1)y = 0 %3|

A:

Q: A teacher finds that for test grades in Class A, x̄ = 32 and S x = 4; for test grades in Class B, x̄…

A: Given information: The mean and standard deviation of the test grades of class-A are 32 and 4,…

Q: From a given instance of x=0 and y=3, determine where the solution od this DE. (2x-y)+(2y-x)y'=0 is…

A:

Q: A teacher finds that for test grades in Class A, X = 32 and Sx = 4; for test grades in Class B, X =…

A: Given information: The mean and standard deviation of the test grades of class-A are 32 and 4,…

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

A:

Q: Solve the formula for the specified variable. W=X+Xyz for z

A:

Q: Solve each equation for 0 s 0 < 2n. 1) 2v2 = -4sin 0 %3D 5π7π A) 4 4 B) 4 3π 5π C) 4 5T D) 4 हर ै 4-

A:

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: Solve the following s OWI -D1 1 2 5 f 3 %3D

A: Given that e2-f5=1f-e3=8

Q: Solve the following equations for x : sa) en [x? -2x +2] = 0 5L) 3* = 8 Se) 3 ln x + 2 ln X = 6 2…

A: If ln y=x, then y=ex.  Using the properties of the natural logarithmic functions, it can be written…

Q: -Find the solution of y"+y' + by = 0 by transforming y = x"u|

A: Put y=xαu in the given equation y'=xαu' y"=xαu" Then the equation becomes xαu''+axxαu'+bxαu=0 Now…

Q: Answer all the following questions: 1- If 2x + 1 3 S1 then 1 sIs2

A: Now, We will solve the problem.

Q: Solve for x and y:                                     ax + by = a – b and bx – ay = a + b

A: given:

Q: Solve the following: 3 4 r16 1+Vt -dt

A: To solve the given definite integral

Q: 3. S(e²r – e-²r) ² dr

A: Given: I=∫e2r-e-2r2dr    ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Solve the following IVP 2 y' y(0) = –1 %3D x² + 1

A:

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A:

Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди 1. ди…

A:

Q: 2y" — 12" + 4у' + 72у %3D 0

A: Given ode is homogenous. We will find root of this ode then we write solution.

Q: derive and Provide an  in-depth solution of the following

A:

Q: Solve the following SLP y" + ày = 0 y(0) = y(1) = 0

A:

Q: Solve the following ODF y+y 2y 2 e2x

A: We have to solve the differential equation.

Q: A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He…

A: Let the solution having 10% acid is taken x liters , solution having 30% acid is taken y liters and…

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

A:

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.