Learn more about our help with Assignments: Differential Equations
Search & Filtering
Differential Equations
Please solve the following:
1. y''=1+(y')^2
2. xdy-(3y+x^5*y^1/3)dx=0
1. y''=1+(y')^2
2. xdy-(3y+x^5*y^1/3)dx=0
Differential Equations
Let u=2sin(x) and v=−4x−8.
Find the derivative of their product with respect to x.
ddx(uv)=??
Find the derivative of their product with respect to x.
ddx(uv)=??
Differential Equations
4. (a) Find the Laplace transformation of f(t) = e^-2t(3 cos 6t – 5 sin 6t).
(b) Use Laplace transformation, solve
y′′(t) – 3y′(t) + 2y(t) = 44^2t , y(0) = -3, y′(0) = 5
5. (a) Solve the initial value problem using Laplace transform y′(t) = 3, y(0) = 5.
(b) Solve the non-homogeneous equation y′′ + 9y = -4x sin 3x
(b) Use Laplace transformation, solve
y′′(t) – 3y′(t) + 2y(t) = 44^2t , y(0) = -3, y′(0) = 5
5. (a) Solve the initial value problem using Laplace transform y′(t) = 3, y(0) = 5.
(b) Solve the non-homogeneous equation y′′ + 9y = -4x sin 3x
Differential Equations
1. (a) Solve y′ = 9.8 – 0.196y
(b) Solve the initial value problem y′ = e^(-x), y(0) = 2.
(c) Solve the initial value problem y′ = e^(-x) y^2, y(1) = 4.
2. (a) Solve the differential equation y′ + 1/x y = 3x^2y^3 , which is nonlinear.
(b) An amoeba population has an initial size of 1000. It is observed that , on every ten amoeba reproduce by cell division every hour. Find the approximate size of the amoeba population in 30 hours.
3. (a) Find the general solution to the following differential equation
y′′ + 4y = secx, -π/4 < x < π/4
(b) Find the particular solution to
ty′′ - (t + 1)y′ + y = t2 given that y1(t) = et, y2(t) = t + 1 form a fundamental set of solutions for the homogenous differential equation.
(b) Solve the initial value problem y′ = e^(-x), y(0) = 2.
(c) Solve the initial value problem y′ = e^(-x) y^2, y(1) = 4.
2. (a) Solve the differential equation y′ + 1/x y = 3x^2y^3 , which is nonlinear.
(b) An amoeba population has an initial size of 1000. It is observed that , on every ten amoeba reproduce by cell division every hour. Find the approximate size of the amoeba population in 30 hours.
3. (a) Find the general solution to the following differential equation
y′′ + 4y = secx, -π/4 < x < π/4
(b) Find the particular solution to
ty′′ - (t + 1)y′ + y = t2 given that y1(t) = et, y2(t) = t + 1 form a fundamental set of solutions for the homogenous differential equation.
Differential Equations
power of x is 4+x square +1 -------differentiate it w.r.t x
Differential Equations
Differentiate with respect to x:f(x)=(x+X^5)
1−5x^2
1+5x^4
5x^4−1
x−5x^4
1−5x^2
1+5x^4
5x^4−1
x−5x^4
Differential Equations
Differentiate with respect to x:f(x)=(8x^3+X^2)
8x^3−x
24x^2−2x
2x^2−2
8x^2−x
8x^3−x
24x^2−2x
2x^2−2
8x^2−x
Differential Equations
Differentiate with respect to x:f(x)=(ax3+bx)
3ax2+b
ax^2+b
3x^2+1
3ax^2+x
3ax2+b
ax^2+b
3x^2+1
3ax^2+x
Differential Equations
Findf(x)=x^27
27x^26
x^26
26x^27
27x
27x^26
x^26
26x^27
27x
Differential Equations
Findf(x)=x^3n
3nx^3n
3nx^(3n−1)
3nx
3nx^(3n−3)
3nx^3n
3nx^(3n−1)
3nx
3nx^(3n−3)
