9. Solve the following equations. (a) sinh x = -1 r = In 2.

Q: Solve the following differential equation by using integrating factors. y' +y = 8x, y(0) = 48

A:

Q: Solve the following differential equation with annihilator approach y" + 8y – 9y = et=

A: Consider the provided differential equation,

Q: (х+2)* x² – 4 dy 2y dx x? - 4 х —

A: Given  :        dydx+2yx2-4 = x+22x2-4

Q: Solve the following Exact Differential Equation (* + y)dr +3ry*dy = 0

A: Given differential equation     x3+y3 dx+3xy2 dy=0

Q: y" + 2y' +y = sin x+ 3 cos 2x.

A: Let us consider the given differential equation y''+py'+qy=Q(x). To solve the differential equation…

Q: dy 5. cos x+y = tan x dx

A: 5). Given differential equation is cos2xdydx+y=tanx. Solution Given differential equation can be…

Q: 4. Solve the following differential equation dy dr TMUTM

A:

Q: I. Solve the following manually using separable differential equations method. 6. тydx + nxdy 3D0

A:

Q: Solve the following Problems: (a) e(sinh x dx + cosh x dy) = 0

A: We need to solve  ey(sinhxdx+coshxdy)=0 The explanation is given below.

Q: 4. Solve the following integral equation: y(1)-y(u)e"du = e %3!

A: The given integral equation is                                                    y(t)-∫0ty(u)et-u…

Q: Solve the following differential equation using MVP * y"+ y'= tan t

A:

Q: dy 3. = y tan x – y² sec x dx

A:

Q: Solve the following differential equation by the method of Variation of Parameters: x′′ + 49x =…

A: Variation of Parameters: Consider the differential equation…

Q: dy + y = 20 + 10x dx

A: To solve the given differential equation

Q: Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate…

A: answer is in next step.

Q: Solve the following differential equation using Method of Variation in Parameters y" + 4y = 8 sec 2x…

A: To solve the following differential equation using variation of parameters

Q: sec x dy-4sin xsec ydx=0

A:

Q: Solve the following differential equations: dy 1- secx = y + sin x dx

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Зх + у — 4 dy 2х + у — 3 dx

A: Differential Equation Reducible to Homogeneous: Consider the differential equation of the form…

Q: Solve the following differential equation by using integrating factors. y' = 7y+ x2

A:

Q: Solve the following exact differential equation (etx + 2xy) dx + (cosy+ 2x²y) dy = 0 %3D

A: Consider the given differential equation e4x+2xy2dx+cosy+2x2ydy=0                     …1 Now compare…

Q: y=2 xdx + (ydx-xdy)cos 2=0;when x=1, EIN

A:

Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: Solve by any method discussed in class. y(4 - 4y"=212 + sinh2t

A:

Q: Solve the following differential equation by using integrating factors. xy' = 4y – 5x? |

A:

Q: Solve the following Problems: (a) e"(sinh x dx + cosh x dy) = 0

A:

Q: Solve the following differential equation using appropriate method. 3. (r+ sine - cose) dr + r(sine+…

A: r+sinθ-cosθdr+rsinθ+cosθdθ=0

Q: dy 6. tan 2+2 dx Ans. sin 2= Cxr х х х

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Solve the following differential equation by dividing interval to 4 equal parts (1 + Ax)y" + By¹ +…

A: Given,              (1+Ax)y''+By'+Cy=Dxy(a)=0, y'(b)=1 Where             A=-3, B=2, C=-1, D=2, a=2,…

Q: Solve the following differential equation: 3 sy 5 dx

A: Solution of differential equation

Q: S.lve this separable diff. egly dy+dey= 6X 2x4

A:

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION   show detailed solution

A:

Q: I. Solve the following manually using separable differential equations method. 9. xsinydx + (x² + 1)…

A: Question is solved.

Q: Solve the following differential equation: y"ty=secx

A:

Q: Find L-s+9)2–36 e- 76- –9t sinh6t 16 e-cosh6t 6. 16 e "cos6t 16 9t

A:

Q: Solve the following differential equation using Method of Variation in Parameters y" + 4y = 4 csc 2x…

A:

Q: b. y − y'cosx = y2 (1 – senx)cosx

A:

Q: (zy + x)dy + ydx = 0 %3D

A:

Q: Solve the following differential equation by using integrating factors. You may assume that * > (x +…

A: To solve the given differential equation.

Q: 4rdx + (21*y +Зу)dy 3 0.

A:

Q: Solve the following differential equation: =ei sin(rx)

A: We have to solve the given differential equation…

Q: (xy – 4 ln a + x? sin x2) da + a? dy = 0

A: Please check step 2 for the solution.!

Q: Solve the following differential equations: (cosx)y + (sinx)y=cos^3x

A:

Q: 3. Solve the following differential equation using the Method of Reduction of Order. Use…

A:

Q: Solve the following linear differential equation: y' + %3D

A: Solution

Q: Solve the following differential equation Ỳ − (sinx) y = 2 sinx

A:

Q: Solve the following differential equation by the method of Variation of Parameters: x" + 49x csc…

A: The given differential equation is;  x''+49x=csc2(7t).

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.