Q2. Solve the following differential equation. Given that when x = 0, y = -0-9, and- dy = -0.7. dx d²y dy dx? + 3- + 2y = 3 sinx dx

Q: SOLVE THE 0.E 2Ydx 3xy²dx +xdy when x=2 y=-2

A: We can solve this using substitution method

Q: Arctan (у — 2х) — х — 2у |

A:

Q: 2. x²y² = 3y' +1 dy %3D dx

A: Please refer the attached image for complete solution.

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: Find differential of the function y = (x² + 8)3. dy = dx. When x = 5 and dx = 0.05, compute the…

A: Solving

Q: =0 for a particular stationary point, then the ôxôy 13.Given that stationary point is 2x+1 14. dx =…

A: according to company rule we can answer only first question and rest can be reposted

Q: Solve. dy 71. 5x*y? + x?y² = dx 72. e-1/x. dy = x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: I'Y (x) dx (x- 1)A =1+1+?. WINC

A:

Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

A:

Q: У L. y Find the logistic differential equation dy =ky 1-: -=ky dx

A:

Q: differential solution.. dy/dx= 2x, what is why?

A: given,           dydx=2x

Q: Consider the function P = –0.5x² + 20x – 18. Find the differential for this function.

A:

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

A: Solution of differential equation

Q: b) Solve the following differential equatión . = 1 + Sin x + 4x dy +2y dx dx

A: According to the given information it is required to solve the differential equation:

Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

A:

Q: Find the differential of the function. p = 9q – 493/2 dp:

A:

Q: 3. sinx — -1-2усosx dx

A:

Q: 3 Solve S (x dx.

A:

Q: 2 1n x. 9. dx

A: Derivative: The chain rule states  ddxfgx=f'(gx)·g'(x) The derivative formulas are ddx(ex)=exddx(ln…

Q: g(x) = 2x - n+ 4 sin? x g(t) dt. %3D 0.

A:

Q: 3. Solve the following differential equation: d³y + 9 dx? + 13y = 0 - dx3 dx

A: The given differential equation is homogeneous linear differential equation with constant…

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.