First order linear of 2x3y'=y(y2+3x2)

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: integral (In x) 3  dx

A:

Q: az Find if yz – In z = x + y ax

A: To find: The partial derivative ∂z∂x, if yz-ln z=x+y. Calculation: The partial derivative ∂z∂x can…

Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: Find the total differential. z = 5x3y9 dz =

A:

Q: Find a function w = ƒ(x, y) whose first partial derivatives are ∂w/∂x = 1 + ex cos y and ∂w/∂y = 2y…

A:

Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: 5. Integrate 2x-1 dx by using substitution method.

A:

Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

Q: Find both first partial derivatives. z = exy az ax dz II

A: topic - partial derivatives

Q: Find both first partial derivatives. sinh(5x + 4y) az %3D dz %3D ду

A: Explanation of the answer is as follows

Q: te dt.

A:

Q: Find the partial derivative. (2² + 4x – 4y)* z = dz

A:

Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: integrate dy/(sb - smy-bny-nmy^2

A: SOLUTION-

Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

A:

Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

Q: Find both first partial derivatives. z = exy

A: Given function is z=exy. Partial derivative of function means derivative of function with respect to…

Q: Use integration by parts to show )dy.

A:

Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

A:

Q: 7. Integrate em***)dx_using the Substitution method. x +3

A: To evaluate the given integral using substitution method.

Q: he integra = 3/2 is dz Z-2

A:

Q: 8. dx +x2 Integrate:

A:

Q: Find the total differential. z = 10x8y6 dz =

A: GIVEN: z = 10x8y6

Q: dx 2.

A:

Q: derivative

A:

Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: 4 Use Gaussian Integration (4-point form) to approximate x2sin(x)dx

A: Using 4-point formula the given integration is solved.

Q: From the partial differential eqiuation by eliminating the arbitrary function z=(x2+y2+z2)

A:

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

A:

Q: Find both first partial derivative h(x, y) = e-(xª + y^) hx(x, y) = hy(x, y)

A:

Q: Find both first partial derivatives. z = cosh xy2

A: Given: z=cosh xy2 To determine: ∂z∂x& ∂z∂y

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution.

Q: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

A:

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

A:

Q: v = exy In(x +y)

A:

Q: What is the (a). general solution to xydx-(x+2) dy=0? (b) integrate.

A:

Q: integral of (2y-3x)dy and integral of (2x-3y)dx

A: We have to find the integrals of (2y-3x)dy and (2x-3y)dx seperately. Recall that the integration of…

Q: Find the mixed partial derivative at the point (2, 3) for h(x.y) = x sin(y) + y sin(x) + xy

A: The given function is, Differentiate the above expression with respect x partially.

Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: (In x) dx Integrate: 1

A:

Q: In 3 | (1-x)e"dx ах In

A: Consider the given integral

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0