Solve 2, y(0) = 22 - -58 - 15 x(t) =

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: Find the general solution of y' = y secx

A:

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: Solve 1) y" + y = e* + x² 2) y" – y' – 6y = e-2x + 4sinx

A: here first take d/dx = D then make its auxilary equation then find complementary solution then find…

Q: y′′−9y = e^3tsin(t)

A: We have to solve given problem:

Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

A:

Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

A:

Q: D3-7D² + 16D-12)y=e^7x + Cos5x + Sin5x

A: Given:

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: find general solution. dr/dt= -2tr,         r(0)=ro

A:

Q: Kindly solve using algebraic substitution. x3 dx Vx2-1

A:

Q: (9x-4y+4)dx-(2x-y+1)dy=0

A:

Q: Find the solution of y'' (x) = y(x) that fits in origo and goes through the point (ln2,(3/2) )

A:

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: Solve for Yp * y" – 9y = e3x

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + y = e2x

A: The given equation is y" + y = e2x Substitution of y=ex into the differential equation yields the…

Q: (a) Solve y" + xy + (2r – 1)y = 0, %3D near z = -1, if y(-1) = 2; y'(-1) = -2.

A:

Q: solve using the appropriate method.xy = 2y + x − 1, y (3/2) = 9

A: We have a function in two variable (x,y)  and a value at particular x. we can separate y and x both…

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Differentiate: y = 4cos (-)

A:

Q: Solve the nonhomogeneous y'+ 2y equation

A:

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

A:

Q: 6). Solve xdy- yk -0 x +y* xdx + ydy +-

A:

Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

A:

Q: tion: y" – 3y' = e3 – 18x. - -

A:

Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: Solve y"-4y'+13y= yo)=-I ,y'co)=2

A:

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: - y" – 2y' + 1 = (x + 1)e2x

A: Just I have used the method of variation of parameters and easily find the required solution.Final…

Q: Solve using method of variation of parameters: y" + 2y' - 8y = 2e-2x - ex, y(0) = 1, y'(0) = 0.

A:

Q: Solve rue I.v.P. ý + 3y'-s y = y co1=2 yco)=-3

A: Given,y(0)=2 and y'(0)=-3y''+3y'-5y=0    Integrating both sides y'+3y-5=C1...............(1)on again…

Q: Solve 2yy′ + 1= y2 + x, with y(0) = 1

A:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A:

Q: Find the solution of y-x =0 using separable variable method. dx

A:

Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

A:

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

A:

Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius…

Q: Solve using variation of parameters: y" – 2y' + y = -

A:

Q: Solve:- dy 3y -4 x" こ メlo

A:

Q: y' = xy+3x-y-3 xy-2x+4y-8

A: