Calculate dx2 y = e-X + ex

Q: Integrate dx/√3x-2

A: To integrate: dx3x-2

Q: Solve 2xy dy - (x² +y² + 1)dx=D0

A:

Q: 3. SV1+ V1+x dx

A: Given integral ∫1+1+x  dx

Q: Solvey- dx OA7

A: We have to solve the differential equation…

Q: Calculate  d2y dx2. y = −6x2 + 5x

A: Given

Q: LDE with Constant Coefficients dªy dx4 + 2y = e-* + xe-* dx dx2

A:

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: 6. x2 +7 y = 8. dy dx II

A:

Q: Find ∫ x2 e-x dx

A: Given : ∫ x2 e-x dx

Q: 2x dx V5 + 4x – x²

A:

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: Evaluate 4x - 4 а. dx ex2-2x-9 b. S dx 5-4x

A:

Q: Find dy/dx y = e2x^3 + 5x

A:

Q: 2x +9 Find- , if y = dx x-5x+1

A:

Q: Integrate dx/(2x-5)^4

A: Given integral is I=∫1(2x-5)4dx Let us substitute  u=2x-5du=2dx Integral is transformed using above…

Q: -dx x2 + 2

A:

Q: Solve 2x (x* – 3)3/2 dx by substitution

A: c)    Given:         ∫2x3x4-332dx       Apply u-substitution.      substitute…

Q: Evaluate fcos-¹(x) dx

A:

Q: Solve :一 (2 +x)y メ +4メ dxー ナリメ

A: The form of equation is,                         x2d2ydx2 +p(x) dydx+q(x)y =0

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: -e-²* )dx

A: Since you have asked a question with multiple subparts so as per guidelines  we will  solve the…

Q: αdx = x x2-a2 dy

A:

Q: 1 dx x² V5 -

A:

Q: Integrate dx/(x-5)^2

A: answer = -1x-5explanation is given in below step

Q: Solve dy/dx − 5y = x2ex − xe5x

A:

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 2x+ス+ dx ャX-ス

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: Find (|x+1|dx -3

A:

Q: Solve

A:

Q: Find Sé lX-31 dx

A:

Q: Find ∫(x2 + 1)2(2x) dx.

A: Let the given integral be y - y = ∫x2+122xdx                    ....................(1)y =…

Q: find dy dx X2+ уг — -- =4 Ч

A:

Q: D. L (x3-4x) dx + (-x + 4x) dx

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find dy dx 4. y = xln(5x-2)

A:

Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

A:

Q: 2 Solve =. dx x+2y-3

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find. (x²+1)3 2x dx

A:

Q: 1 (x2 - y2) 3 dx

A: We have to evaluate ∫1x2-y232dx Let x=y secu Then: dxdu=dduy secu⇒dxdu=y secutanu⇒dx=y secutanu du…

Q: 13. dx x5-3

A:

Q: Solve (x-3y]dx+xdy=0

A:

Q: 2 dx X + X - e メ-

A:

Q: Find of y' (y-x)° = y² – x² dx

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find (x + 2)e3* dx

A:

Q: Evaluate:

A: Given integral is We know that

Q: Find dy/dx y= (x3-3x)6

A:

Q: x3-1 dx J2+2x+5

A:

Q: dx (2X+!) Jx²+x

A: Given,         ∫12x+1x2+xdx

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.