pproemate vatue of yn.r the solution of the Py-1+.o) -0 thod for h-a.1 is 10s AO 12400 aO 1.1003 CO 14100DO

Q: 4. 3 2 (D+D²_5D+3) y = 0

A:

Q: EVALUATE e3x dx 0. O None o 음(el2-1) ,12 (e!0 – 1) ,12

A:

Q: 3. Solve for r in terms of x¡. T4m 2 m Ax 10 m 10-x,* X章

A: In similar triangles , ratio of corresponding sides are equal.

Q: + 2y = 0 is

A:

Q: Solve the equation for solutions in the interval osx< 2n. Round approximate solutions to the nearest…

A:

Q: Q#02:-Salve this Pcosy +Psinx.cosx.cosy-sinjcoix =o

A: We know that for a quadratic equation ax^2+bx+c=0 Value of x is given by X=(-b+-√(b^2-4ac))/2a

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

A:

Q: dy (1+ x)- - xy = x + x² dx %3D

A: The differential equation is given as (1+x)dydx-xy=x+x2      …(1) The objective is to solve the DE…

Q: 10. Which values of x in the equation are true? (x- 4)2 = 10 A. x = -10 + V4 B. x = -4 + V10 C. x =…

A:

Q: n T dx Solve: 's ôx? " dr where T at x=n is Tn and T at x=s is Ts Xn - Xs = Ar if you get Xn † Xs…

A: We are given a definite integral and we have to find its value.

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: From x=6²x₁ derive it atleast s equations where one 5 xis isolated. Stop when x = g(x)

A: We need to derive at least 5 equations of the form: x=g(x) from the equation: x=6-x. Using the…

Q: dy Solve = eX-V+ x²e¯V O a. 'eV = e* + +C 3 b. O b. V = e + +c 3 Ocev = e + eY= e*+ 3. O d. None of…

A: The given differential equation is dydx=ex-y+x2e-y. Rewrite dydx=ex-y+x2e-y as first order separable…

Q: Find dy for the given values of x and Ax. 3x - 5 X+1 y = ; x = 3, Ax= -0.07 SHOE AAN www

A:

Q: x² -dx. X-4

A: I=∫x2x−4dxSubstitution u=x−4Using the power ruleddxxn=nxn−1

Q: Which of the following is the true match for cartesian equation and the corresponding parametric…

A:

Q: 1 x (1-x)ªdx= 1 105 a O 1 .b O 280 1 .cO 35 1 .d 210

A:

Q: Help me solve this

A:

Q: fferential Eugh by finding tor. (6n +only)dy=0)

A:

Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: sin(2t + ) dt JT 2 e2t-3 -3 4 e3 7 7 64e3 7 8. 5 4 4

A: Proceed as shown

Q: Find an explicit general solution of the following equation. x²y" + 2xy' - 12y = 0.

A: Given diffrential equation is  x2d2ydx2+2xdydx-12y =0 Let t = lnx

Q: -3 Vennty that A 3. 2. Varities Caley tHownilton theorem

A: We have to solve given problem:

Q: sinh 2 .a O 3s2 –4 9s2 – 4 6. s2 – 4 2s²-4

A: Given, Lsinh23t. We have to evaluate it.

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.