5. (4x'y — 15х2 — у)dx +(x* +3у?- х)dy-0

Q: Solve using Differential Equation Pure water enters the tank at the rate of 3 gal/min and brine…

A: Let y be the amount of a substance. The concentration of the substance can be modeled using the…

Q: d²y dy Suppose you have a harmonic oscillator which obeys the ODE m + b + ky = 0 where m = 4, b =…

A:

Q: Please Solve this question using advance math and differential equation, pls solve manually, i need…

A: Q1-. 5 ROOTSQ2. 2+j30Q3.4Q4.some detail is missing may be initial condition.  However…

Q: x' + 2x + y =sin (t) y' – 4x – 2y = cos(t) x(0) = 0, y(0) = 1.

A:

Q: 3 Solue Cy+2*g³)dx + C2+3x' (2+ 3x*;'+ x) dy=0

A:

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A:

Q: Solve the initial value problem. dy y = 5x ex, dx X The solution is y(x) = y(1)=5e-3

A:

Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: dy (13) 2+ 3y = 3x²e¬3* dx

A:

Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the orthogonal trajectory of the family of curves y = c x².

A: Explanation of the solution is given below...

Q: d [1 X = х, .3 4. X = x = {x2} dt [

A:

Q: +10 ay +24 y=0. (a) If y= Asin x+B cos x, show that d²y -+y=0. dx dy (b) If y= Axe", show that x-…

A:

Q: 1. xy +y = xy

A: Given: xy'+y=xy3 ....i Rewrite the equation: y'+yx=y3 The given differential equation is of the form…

Q: Solve the system of differential equations. [3 -13 8 - [*]**(0) = [] X; X 5 1 16 XI=

A:

Q: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex

Q: y'+9xe"+3* = 0 y+3x

A: We use method of Variable separable to solve this differential equation

Q: 2y'ly"+2)=xy's

A: We are given a nonlinear first-order ordinary differential equation. And we have to find its…

Q: * = -5y ý = 2x + 2y

A: