dx (x+1)(X'+9) 2. Find Solution.

Q: Solve dy/dx+1 =ex+y

A: It is a differential equation in form of changable in varibale sepration. So by using this method we…

Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

A:

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: 1 dy / Solve y dx 1 3 3+x2 V4-x2 ||

A:

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

A:

Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

A:

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

A:

Q: (1)Find the general solution for (- x) dx – (-y) dy = 0

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: Find dy dx dz 2 9=(z-3 Inax) a = constant

A:

Q: solve (x-y)dx + (3x+y)dy = 0 using homogenous

A: We know that if a function is homogeneous if f(tx,ty) = tnf(x,y). Here n is degree of homogeneous…

Q: Solve: (1+y2)dx=(tan-1y-x)dy

A: Here we have (1+y2) dx = (tan-1y-x) dy We know that solution of the differential equation in the…

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

A:

Q: xz2² - dx dy dz 0. 10 y(x² + 2)(z³ + 3)

A:

Q: d’y - 2 y = 5x' + In(x²). dx

A:

Q: 2(х + у)dx — x(х + 2у — 2)dy %3 0? -

A:

Q: (e² sin³(2r) (d) y= ln 2x2 + 1

A: Given, y=lnexsin32x2x2+1 derivate both side and find dydx dydx=ddxlnexsin32x2x2+1…

Q: Using dx/dy solve sin(x+y)-cos(x+y)=1

A:

Q: Solve: x- dx dy - (x + 1)(1 + y*).

A: First separate the variables than integrate and solve the  differential equation .

Q: 10) y7 exbx

A:

Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

A:

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

A:

Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

A:

Q: Find dy/dx by implicity differation.

A:

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: solve homogeneous equation by linear method Tanx(dy/dx) + y = sec x

A: SOLUTION-

Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: Solve dy/dx +1= ex+y

A:

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

A:

Q: Find solution of y – x X- dx dx

A:

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: y = (2x3- 8x )4 Find dy/dx when x = - 2

A: Given function is Differentiating with respect to x by using chain rule o differentiation, we get…

Q: Solve dy/dx−6y=3 subject to y(2)=2

A:

Q: Solve dy/dx+1=ex+y

A:

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: Evaluate the integrals

A: Consider the given integral, ∫02∫-4-y24-y2∫02x+ydz dx dy integrate with the given order of the…

Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: . Use separable equations to find the general and particular solution of xy dx – (x +

A:

Q: Vaz x² S. (2) dy dx

A:

Q: find dy/dx for y = -(3x^2 + 5x)^5.

A: solution is given below.

Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

A:

Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…

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.