Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

Q: Find dy/dx. 3x2 - y = 8x dy dx

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Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

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Q: 4X-) dx dy y2 ret -1

A: Given: ∫12∫-10ex2y-4x-1y2dxdy

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

A: Topic:- solution of differential equations

Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''+y'-3y=4sin2x

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Calculate  d2y dx2. y = e−x + ex d2y dx2 =

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Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

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

A: Solving the non exact differential equation

Q: Calculate  d2y dx2 y =  −  5 x2  d2y dx2 =

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Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

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

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Q: solve dy/dx = 3x2y2

A: Given, dy/dx = 3x2y2 with  y = 1/2 when x = 0

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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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: 2. Use the method of equation Uariation of parameters to solve the differential dy - k- dx² dx xez…

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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: = 6 + 3t, y = −8t;  dy dx

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Q: 4.x+xy? y-x²y ,2 dy dx

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Q: √2xy dy/dx =1, given y=1 when x=1

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Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

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Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

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

A: SOLUTION-

Q: 7) y = exz 8) y = 3 x ²

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Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

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Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

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: Evaluate the integrals

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

Q: 3 -V7 dz dy dx dy dz dx

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Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: Solve x3y dx= (x3+y3)dy

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Q: Evaluate the integrals

A: Given integral is:

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

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Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: Vaz x² S. (2) dy dx

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Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.