Differential Equation

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #91

Solve: `\frac{dy}{dx}=\sin(x+y)+\cos(x+y)`

Question No: #92

Solve: `\log(x+y)^{x+y}(1+\frac{dy}{dx})=1`

Question No: #93

Solve: `x\frac{dy}{dx}=y+\sqrt{x^2+y^2}`

Question No: #94

Solve: `e^\{\frac{dy}{dx}}=x+1` given `y(0)=3`

Question No: #95

Solve: `\log(\frac{dy}{dx})=3x-5y`; given that `y=0` when `x=0`
Ans: `3e^{5y}=5e^{3x}-2`
SEE SOLUTION

Question No: #96

Solve: `\log(\frac{dy}{dx})=4x-2y-2` given `y(1)=1`

Question No: #97

Solve: `\frac{dy}{dx}-y=e^x` ; given `y(0)=1`

Question No: #98

Solve: `\frac{dy}{dx}+2/xy=x^3`

Question No: #99

Solve: `x\frac{dy}{dx}-y=x^2`

Question No: #100

Solve: `x\frac{dy}{dx}-y=\logx` ; given `y(1)=0`