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Popular >

y^{''}=4t^2

Solution

y^{^{''}} = 4 t^{2}

Solution

y = \frac{t ^{4}}{3} + c_{1} t + c_{2}

Solution steps

y^{''} (t) = 4 t^{2}

Solve

y^{''} (t) = 4 t^{2} : y^{'} (t) = \frac{4 t ^{3}}{3} + c_{1}

Solve

y^{'} (t) = \frac{4 t ^{3}}{3} + c_{1} : y = \frac{t ^{4}}{3} + c_{1} t + c_{2}

y = \frac{t ^{4}}{3} + c_{1} t + c_{2}

Popular Examples

derivative of f(x)=tan(sqrt(x))derivative of

f (x) = tan (x)

integral of 1/(x*cos^2(ln(x)))

\int \frac{1}{x \cdot cos ^{2} ( ln ( x ) )} d x

area x=8+2y,y=-1,y=3 area

x = 8 + 2 y, y = - 1, y = 3

x^3(dy)/(dx)+5xy=x

x^{3} \frac{d y}{d x} + 5 x y = x

(dh)/(dt)=-0.006sqrt(19.6h)

\frac{d h}{d t} = - 0.006 19.6 h

Frequently Asked Questions (FAQ)

What is the solution for y^{''}=4t^2 ?
The solution for y^{''}=4t^2 is y=(t^4)/3+c_{1}t+c_{2}