The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X sin'x)= s)(S +xうx= 1-x (9 -S Sim'メ %3D e) こ(4x

Q: Find y" by implicit differentiation. x² + 5y2 = 5 %3D

A:

Q: Q2. Find the value of first and second derivative For the equation x² + xy-y²³ = 2/₂² at (1,1). 3 ऋ

A:

Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Find y'' in y = x(2x + 1)4

A:

Q: 4 Use implicit differentiation to solve for y' if r4y2 - x³y + 2xy³ = (Show your work)

A:

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: c. y" +4y=tan2x %3D

A: Solution of the given differntial equation is

Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

A:

Q: Bernoulli's Equation Solve (dy/dx) - (y/x) = y2e^(x2) %3D

A: The Bernouilli ODE is in the form ofy'+p(x)y=q(x)ynAnd the solution is obtained by…

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: solve A) y''-2y'=6e^2x-4sin(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: Find y' if y = sin² (5+7)

A:

Q: Find y" 3x +4 y = 2x - 3 y" =D

A:

Q: ga)= 3(5x²-2 Vn) FIND g'k)

A:

Q: Equation in (a) becomes the non-homogenous equation, y'' − 2y' +y = e^2x . Solve the particular…

A:

Q: ear differential equation y' - (sinx)y = 2sinx is:

A:

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

A:

Q: Solve y"" - 2y' + y = 0

A:

Q: find a linear homogenous constant coefficient equation with the given solution: y(x) =…

A:

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

A:

Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

A:

Q: Solve (e' +1) cos x dx +e'sinxdy = 0

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.